You could sort of make an argument that Stephen Colbert is the closest thing we have now to a successor to those characters. The character Colbert plays on his show -- the blowhard, self-absorbed talk-show host who believes in "truthiness" and is suspicious of actual facts -- is obviously a satire (though, as with Archie and Alex, there's a sort of sub-trend of viewers who don't get that the character is supposed to be a satire). But if you watch enough episodes, the Colbert character starts to become oddly sympathetic: he's a guy trying to seem like he knows everything when he knows nothing, and the strain of trying to look infallible seems to be wearing him down. As with Archie Bunker, he's really not a bad person, just a guy who doesn't really understand the changes in the world, and deliberately closes his mind to anything that might make him nervous.
Incidentally, here's what Colbert (sort of in-character) told a clearly hostile Washington Press Corps last night, a reminder that the primary satirical target of shows like "The Daily Show" and "The Colbert Report" is not politicians, but the media:
Over the last five years you people were so good. Over tax cuts, WMD intelligence, the effect of global warming. We Americans didn't want to know, and you had the courtesy not to try to find out. Those were good times... as far as we knew.
But listen, let's review the rules. Here's how it works: The President makes the decisions - he's the decider. The Press Secretary announces those decisions, and you people, the press, type those decisions down. Make, announce, check. Just put 'em through a spell check and go home. Get to know your family again. Make love to your wife. Write that novel you've got kicking around in your head. You know, the one about the intrepid Washington reporter with the courage to stand up to the administration? You know, fiction!