I honestly don't think people bet hands like AQ or AJ there "all the time". Some do, most don't in my experience, and they shouldn't.
Lets also not forget that the majority of the time he doesn't even have a hand like AQ or AJ there. So we've got two relatively low probabilities that BOTH must be present in the particular hand for me to be winning, namely that he have a hand that I can beat AND that he bets it on the river. Even if I concede that an unknown player on Empire will bet A-high or a small pocket pair there more often than 1 in 9 times that still doesn't make it a call. Not even close in fact.
For instance, if we assume that on the river I'm ahead 25% of the time (to use pokerplayer24's number) and that he'll bet a hand I'm beating 25% of the time (far greater than 1 in 9), then I need 15:1 pot odds just to break even. I happen to think both these assumtions are on the optimistic side but the point is just the same.
Heading into the turn I'm pretty much hoping he has AK, and then the K falls. After I miss my draw I could go on hoping some more that he not only has some different hand, like AQ or 33, but that he's willing to raise it and bet it on both big streets after I led the flop, or I can tell myself that a typical player would simply not play (or have) a hand like that often enough to make a river call profitable.
Please feel free to disagree but FWIW I still like the laydown. I'd estimate I have the best hand about 1 in 20 times on that river if I'm being generous.
respec,
I used to think this way a few months ago, however you may be surprised how often you run into an unimproved A-high here. Others have already mentioned that calling is better than folding because of how passively you played the hand. You said that most people don't bet A high here and that they should'nt, and you are correct. If I had A high here, I'd definitely check behind here.
But, in these type of games, you must realize that most of the players are aggressive overplayers. If you show weakness, they will attack attack attack. Sure he could have an overpair, but he could very likely have a naked A.