They could never survive in their original format. The original series were based on an older escapist-oriented format of television that has largely died out because society can no longer suspend the disbelief necessary for them to work.
The only way the original templates could survive is by going to USA Network. USA's schedule is essentially what TV would look like if the 70s had never gone out of fashion. If you look at their line-up, you'll notice every show is a virtual textbook case of 70s idiosyncratic formula shows: "Suits", "White Collar", "Burn Notice", "Royal Pains", "Fairly Legal", "Psych", "NCIS", "Law & Order:_____" all involve quirky, idiosyncratic, banter-driven ensemble casts doing the same mostly-harmless shit/different way/every day for 100+ episodes. That's the demographic they're going for: people who want harmless entertainment involving likeable but distinct characters who do good through ridiculous and unrealistic ways. Critics have given up trying to hold USA to the same standard as other stations because they're so determined to capture a specific audience that they shrug and say "yeah they're doing that stuff for those people so, y'know..."
"Monk" was basically the second-coming of "Columbo."
In order for them to have a chance in the new television environment they have to have a dramatic premise that can fit into new areas. "Battlestar: Galactica" became the mega-hit it deservedly was because it said "the premise works, but the tone must change." So they abandoned the camp and "Western in Outer Space" format for the gritty, post-apocalyptic nihilism that mirrored the ennui of a post-9/11 world. For that reason, I think "Galactica" will have relevance for longer than its predecessor because it traded entertainment for resonance. If they made "Small Wonder" today, it wouldn't be a sitcom about robot daughter who talks like a speak & spell and somehow fools gullible neighbors, it would be a dark series about artificial intelligence and its effect on the world. "Dukes of Hazzard" would have to be a dark, "Justified"-esque show about smuggling, and the same for everything else.
But every time you take an old-fashioned high-concept show and you try to relaunch it as the same old thing in shiny clothes, it fails miserably: "Knight Rider," "V," and even "Bionic Woman." And to be clear, I though the "Bionic Woman" re-launch was a terrible idea until I saw the pilot and thought "okay, this could work" but was totally devastated at how terribly they fucked up "V" which had SO MUCH potential.