Could it also be that the demographics of the rural areas are working class folks who get up early in the morning and go to bed earlier in the evening.
And I can be counted as one of those who have never heard of The Mysteries of Laura. My options are limited to what I stream and OtA TV, so there are shows that have come and gone without me having ever watched them.
I was watching the newest SNL (Aziz Ansari) with a reluctant Trump voter and they enjoyed it and laughed at most of the jokes. SNL throws in a jab at liberals once in a while. They didn’t appreciate the horribly sung and smarmy tribute to Obama at the end.
I don’t call myself a Trump supporter, but I did vote for him because I can’t stand Hillary. If I’m watching TV on a Saturday night, it’s Svengoolie hosting a classic horror movie.
I haven’t watched SNL since the late 70s when it stopped being funny.
Well, I don’t understand the idea of assuming all his supporters watch the same shows, but here are some of the shows I watch:
Brooklyn Nine Nine
Life in Pieces
Big Bang
Modern Family
Agents of Shield
Elementary
How to Get Away with Murder
Super Girl
Worst Cooks in America
Top Chef
The Middle
Superstore
This isn’t a complete list, but gives you an idea. 
I watch NCIS and I am NOT a Trump supporter !!! I hate the SOB!
Nope. I was thinking exactly the same thing. Never even heard of it.
Football and MMA. Just ask Meryl Streep
Nor is “NCIS” a conservative show. In the past two seasons, Gibbs has pushed for a posthumous medal of honor for a gay sailor, and investigated a hate crime in which a deranged bigoted Christian murdered a wholly admirable Muslim sailor.
You just don’t get TV without liberal propaganda. Not even on shows perceived as conservative.
Incidents where some admirable people happen to be from minority groups and some deranged fanatics happen to be from majority groups are “liberal propaganda”? Presenting such scenarios automatically makes a show “not conservative”?
What plot lines do qualify as “conservative” entertainment, then? Only ones where all the good guys are majority-group and all the minority-group characters are villains?
Yikes. I thought that at least some amount of diversity acceptance was supposed to be common on both sides of the conservative-liberal divide these days. (Unless you’re counting the “alt-right”/white supremacist types, who are far more rejectionist, but I doubt that they’re the principal demographic that you’re referencing by the label “conservative”.)
The Mysteries of Laura was a show on NBC for two series, based on a Spanish TV show and starring Deborah Messing. It was about this divorced police detective, who had to balance raising her kids with her policework. She also had to deal with her jerky ex-husband, who was also her police captain.
Ah yes! My husband, a lover of NCIS in all of its forms, also loved this show. He likes Westerns and war movies and action movies too. But he sure isn’t conservative. Go figure.
Look, this is nothing new. On most cop/detective shows I’ve watched over the last 40+ years, certain patterns become apparent: the villains are always rich white people. If a member of a Victim Group is arrested, he’s being framed. The real killer is a corporate CEO, one with a gun in his desk drawer.
“NCIS” follows the usual liberal Narrative. Hey, I watch the show semi-regularly and usually enjoy it. But when you see story lines about evil Christians murdering virtuous Muslims, you know you’re not watching a conservative show.
I’m not a Trump supporter, but I was definitely anti-Hillary. My favorite shows are:
The Expanse
Alone
Lethal Weapon
Grimm
Flash
The Marvel Netflix shows
I’m in a very blue state. I literally do not know a single Trump voter well enough to answer. I have a couple of cousins-in-law that I can suspect voted Trump, to toe their conservative church party line, and I’ve only ever seen football and baseball games on their TV.
I think it’s less about watching the same shows, and more wondering what shows appeal to that demographic. To me, at least, it seems like most shows are quite liberal and appeal to a more liberal audience than could ever vote for Trump.
It sounds like you no longer have a late night show. Before you could at least watch something like the Tonight Show without any real politics. You’d just get softball jokes. But, according to the OP, anyways, it sounds like Jimmy Fallon is anti-Trump in his show.
Back in the Tonight Show’s heyday, Johnny Carson lobbed gentle jibes at politicians of both parties, left and right.
That’s what entertainers used to do, back when they understood they were entertainers before they began to labor under the illusion that what they did was socially significant.