They might. If the city needs back up.
If you call 911 and the county hospital sends an Ambulance I’m sure a County deputy will be right behind them.
Or if it’s a fire and the Fire department needs roads blocked off. A sheriff’s deputy would be there.
I think according to the size of your county and the needs of various departments they are basically interconnected.
Maybe try thinking of it like it’s one big thing and not just so many parts.
Hmm, I’ve often seen Sheriff deputies show up along side city police. I used to often see the county K9 cop where I work. I don’t really know if it would be cheaper if other departments took over all of these services (which do benefit you in some ways). The departments would have to reorganize expand etc. etc. etc. hell it might be more expensive.
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I get you. You live in a big city. But do you ever drive through the county?
If you have a flat tire won’t you feel safer knowing the County may be on patrol?
If you’re driving along and hit a deer or run off the road by a drunken driver, the county would most likely be first on the scene.
I know it’s hard being a city dweller. But they’re your county too. 
Sure. I live in the biggest county in my state. I see sheriff cars on occasion but almost always encounters with law enforcement is with local police. Doubtless the sheriffs are doing something but 90% of law enforcement here will come from local police. The rest is state police. (I admit I am guessing here but feels close.)
IIRC…state police patrol highways. Local police do local roads.
You have city police.
There are vast tracts of rural land in this country that are not part of a city, whose counties are immense in area, and for whom the only police is the sheriff’s office and deputies. Remove sheriff’s from those places and you remove the police from those areas.
^ This.
Not everyone lives in a city.
While that is true of some people in unincorporated areas anther factor to consider is poverty. Unincorporated areas tend to have cheaper housing (not just lower taxes but also fewer requirements leading to shoddy construction) so the poor tend to be pushed into them regardless of political leanings. It is possible to purchase a home in an unincorporated area near incorporated areas and not be aware you are doing do. And some people are just born there.
Perhaps dispense with assumptions.
What about all the people who live where there is only the sheriff and the sheriff is the police? Why are you asking to eliminate, essentially, all of their police?
Around here the sheriff’s office can, and does, back up local police at times. YMMV.
Ugh, I was just dozing off and realized I mentioned Joceylin Benson as the Attorney General. WRONG. The attorney is Dana Nessel. Benson is SOS. Woops. 
Not me. I like the space. I guess my taxes are cheaper I really don’t know or care. I am going to become more citified when I retire. But that’s because of possible needs for EMS. They would take a long time to get to my house. Might not even make it in the winter.
You think the police can do that with out needing more funds, manpower and equipment?
You would still be paying for ‘both’.
I pay taxes towards schools. I have no kids. I don’t complain about the taxes though.
As previously mentioned in most states Sheriff is a constitutional office, not a department of the county.
Either way, I feel the OP is ass backwards.
IMHO if anything it’s municipal police departments that should be eliminated and all law enforcement should be run by the Sheriff who, in most states, is already the chief leo in the county. In my state a couple of cities and villages have disbanded their police departments and contracted with the Sheriff. Having an elected Sheriff instead of an appointed police chief gives the people more control over what priorities they want their law enforcement officials to make.
Highway patrol/state patrol forces should also be pared down or eliminated. Every Sheriffs Office I know of already patrols the highways. Why should taxpayers pay 2 agencies to perform the same job? Actual state POLICE agencies that do more than just patrol roads should be maintained for cross jurisdictional duties.
It also opens the door for any unqualified fuckwit to become the chief LEO in the county with almost no oversight.
You make no sense. That’s already the case. The Sheriff is already the chief LEO. Almost all Sheriffs are elected and anyone can run. The oversight comes from the people at large via the ballot box and the governor. Most state constitutions address things like this and give the governor certain powers over Sheriffs.
I know. And we already have loads of incompetent fuckwit sheriffs elected because of politics and not because they’re any good at their job.
Lot of assumptions. I lived in an unincorporated area of Boulder County (decidedly non-MAGA). Why? Because that’s where the house was that we rented. No ulterior motive other than not wanting to be homeless.
When I called in to report a Plains Rattlesnake in the dog park to my town police, it got forwarded to the sheriff’s office as better able to deal with it via animal control.
I think that it depends on the state and how they perceive the duties of the sheriff’s department. Here in Illinois, they also do traffic control because the state police have their hands full trying to deal with all of it. I remember posting several months ago that I was actually stopped by a sheriff’s police cruiser right in the middle of my town because he was doing the speed limit and, even though I passed him slowly in a different lane, he stopped me and gave me a warning.
Hey, I worked for one the last 5 years of my first career.
There are also a lot of incompetent fuckwit crooked police chiefs who get appointed by crooked common councils. It’s easier to get rid of a bad Sheriff directly than a bad police chief.
And police chief is not a constitutional office. Eliminating the office of Sheriff would require amending the state constitution in most states. Fat chance of that happening in one state not to mention all 50.
IMHO all points considered overall it would be more advantageous to eliminate municipal law enforcement than the office of Sheriff.
I live in a small town and the police reflected the small town politics. Luckily things improved with an overhaul of our Town Council.
Process server is not the only difference. Sheriffs perform many functions , different ones in different places. And having a police department doesn’t eliminate the need for a sheriff - NYC has a police department, a corrections department to run the jails, court officers to provide court security , a probation department , a medical examiner’s office (functions carried out by the sheriff in many places ) and still has an appointed sheriff and marshals who carry out other functions such as enforcing court orders , collecting judgements, handling evictions.
There might be better or worse ways to organize things - but one thing I am certain of is that it will be much more expensive for every municipality with a 10 officer police department to run its own jail rather than having a county jail. I don’t know of any city that runs its own jail system other than NYC.
The US has an overly complicated inefficient multi-layered policing system with conflicts and overlaps and large lacunae. If we started from scratch and rebuilt it, it would not look like this. But we aren’t going to.
In my area, each bitty little township (mine has about 2000 people in it, which is average) has a police chief, although he may not have any indians. If anything bigger than a stolen bike or a loud argument happens, they call in the county sheriff’s department. It’s a very low crime area so it works fine.
I’ve read, and viewed on videos, that even SovCits think that because most Sheriffs are elected, they are the only LEOs that have any power over them.
I live in rural Missouri west of St. Louis and we have a pretty good sheriffs dept. They also operate the county jail and work the courts.