Without a queen and supply of drones to make more ants, it’s be a short-lived colony. Like a little ant Jamestown in your kitchen.
Ah, roaches. I remember fondly my apartment in Lyon, with the “lit sur mezzanine” (essentially a bunk bed with no lower bunk, so you climbed a little ladder, crawled into bed and slept with your nose literally two-and-a-half feet from the ceiling). One morning I opened my eyes to find no fewer than six roaches crawling on the ceiling above me. ♪Bonjour mes amis, bonjour!♫
The building had a bad roach problem. The exterminator sprayed the first time, but the little buggers were back within six months. After that, he came back with a little eye dropper full of a golden liquid. He put a drop here and there under the sink, under the fridge, etc. Took three days to work, but I never saw another roach. The exterminator told me that they tasted the liquid, went a little bonkers, and began to smell like a roach’s favorite food. They then ate each other out of existence. All very fine, I said, but *mon ami *-- the final roach standing must be one big, ferocious, well-fed, insane and adaptive motherfucker, no?
Bugs and I have an agreement - we’re both allowed to try and kill each other by any means available while in the other’s home. So, if a bug is in my house, kill it with fire, if I’m in its house (ie, outside), I just avoid it. Also, if they won’t leave my house alone, I’ll take it outside and all rules are off.
What about bed bugs?
I grew up in Florida so you have to get used to roaches, and pretty much any other kind of bug. I hate mosquitos with a passion.
Dang. I wonder what this stuff was. Is there really such a thing?
I leave spiders alone. It reduces the number of other bugs. Roaches and ants deserve a slow painful death.
I live in Florida, home of giant flying palmetto bugs. It can be scary here.
However, if I had to choose the single funniest thing I ever saw in my life, it would have to be the time I saw a giant flying palmetto bug leap off the curtains and fall down my mother’s cleavage.
I gently rehome spiders that are too big for Himself to ignore. Roaches, I pretend I don’t see and let the cats deal with them, or when we had a problem with the little ones when the people next door got evicted boric acid handled it fine (and was very cheap.) Generally speaking, I don’t kill things without a good reason.
ETA - Dung Beetle, that happened to me once. You may have heard the noise I made, three states away.
I wondered what that was! 
Frankly, I have searched, but found nothing like it. And I kid you not – that was a true story. Now, whether the exterminator was just shitting me, and was simply using an especially effective poison or something, I do not know. But that was the story he gave me. This was in 2002 in Lyon, France. He said it was a new treatment, and extremely effective. Whatever it was, and however it worked, it worked well, because I swear I never saw another roach in that apartment.
Nobody helped me, either! It happened outside and there were, like, five people there including my boyfriend and they all leaped away and said “OH GOD GROSS!” while I tried to claw it out of my cleavage, screaming. (Me, not the bug. Or the cleavage, on its own.) There were… so many legs.
My war against spiders is personal, I have very little beef with other insects, but spiders are the subject of my wrath, mostly because I dislike the fact that something small and undetectable can potentially cause severe pain and possibly death from some types. A large predator I can see coming and eliminate it before it gets a chance to become a threat, a spider (black widows are common in my area) is a foe that I cannot see until it is a threat, thus leveling the playing field a lot more. Sure, there’s a lot of spiders that aren’t dangerous, but they should have chosen to be something else instead :D, I will exterminate all eight legged insects with extreme prejudice and place there bodies on toothpicks (like heads on spears) so the next one to invade my home will shudder in fear while walking through the arachnid graveyard [evil laugh ensues].
Spiders and ants, the same. I have seen cockroaches, and I have resorted to arson (among other methods :D). Make a ring around them with lighter fuel, then ignite. It’s amusing to watch them not know where to run, then as the oxygen in the center of the ring gets used up, the flames go inward and the bug dies a horribly amusing death.
You needed a Real Man[sup]®[/sup] like me. I would have instantly run to your rescue, ripped your bodice, freeing your… errrr … bug (yeah, that’s what I was trying to think of), and then stomped it into an udderly …err… utterly unrecognizable bugstain for you, earning your undying love and affection.
Then I would have given you my shirt, while helping you repack those… ummm… Well, I’d help you repack them in my shirt (which I gave you off my back, wench! Doesn’t that earn me any gratitude???).
How you doin’? 
I understand the value of spiders in keeping other bugs at bay - but my property has become spider ranch. On any given weekend I can locate and destroy at least 30 of varying sizes - including big juicy black widows. So, for now, for me, spiders are bye bye!
Ugh, I cannot stand spiders. I’m actually too squeamish to smash the big ones - there is NOTHING more disgusting than smeared spider guts. And I’m always a little afraid that they’ll smash me right back. So the big ones (by which I mean 1 to 3 inches from leg tip to leg tip) get put outside, the little ones meet Mr. Tissue and Mr. Garbage Can. I understand their role in the food chain and actually think they’re pretty nifty creatures, I just start sweating when confronted with a sufficiently detailed picture, let alone the real thing.
What really makes me furious is that the big, scary spiders aren’t native to this area, they’re an invasive species. We’re not supposed to have anything that gets larger than half an inch, which I can handle. But noooo, this one species lives only in the milder parts of England… and here. Damn you Brits, your sexy accents are not worth the freaky spiders! Take them and leave!
I do not share my space with bugs if I can at all avoid it. I assume that any insect that approaches me in my space is suicidal and grant it’s wish to die.
Thankfully have never lived in a place with roaches. Spiders usually get sprayed with something (not poison, but hey, if you can live after being soaked with Lysol, then I’ll probably just smack you with a magazine). Ants get the small poison bait treatment.
Flies. I hates flies. I will hunt them down and kill them by any means possible.
Scorpions, tarantulas, brown recluse spiders, nearly any SW desert insect doesn’t bother me. What freaks me the hell out? Moths. Roaches and crickets/grasshoppers are distant seconds.
The only bugs I kill are the disease carriers or unrelocatable killers. Except for roaches, I always feel guilty.
Not enough relevant poll options for me. In general though, ejection is preferrable to:
Squishing, because that makes a mess which I then have to clean up
Poisoning, because I don’t like spraying poison around the house, and it may harm pets.
Cockroaches aren’t a problem where I live, neither are ants.
Flies get trapped and fed to my daughter’s gerbils.
Summary execution is only meted out to wasps and hornets if it seems like they’re in a sting-y mood (which is nearly always, by the time they’ve come indoors, in practice)
I really like bugs. I don’t kill them and I rarely eject them from my house - unless they swarm. Swarming anything I am willing to resort to killing them. I’ve killed ants twice via poison and fruit flies with vinegar and dish soap. I always feel guilty.