The only thing different about Florida was that it happened, by luck, to be the last one... an extremely close point in an extremely close election.
Actually I believe that's untrue. New Mexico was just as close (and I don't know if it was ever settled.)
The difference with Florida was that it had enough electoral votes to make a difference. (Second, New Mexico HAS a method to handle ties - Florida didn't and still doesn't.)
We do not have the resources, at this date, to recount the whole country.
Sorry, I havn't seen anyone demand a recount of every single state. Can you provide a reference? Or are you inventing arguments?
BTW: I agree with your assessment that people who keep harping on a decision that they don't like are "an ideologue(r) with a clear agenda, and therefore as ignorable as a street-corner bum". The difference between you and I is that I do not demand that the ideologuer shut-up.