Well, obviously if you're gonna call, there's good chance you're gonna have a slight edge over a drunkee because you're only calling with likely better hand. But you have to assume you're playing bingo if you don't have high pocket pair or premium hand. Even AK or medium/low pocket pair means bingo. I remember these types of players about year ago, when I used to play and grind at 1/1. People go all-in blind with random hands since it's only $20 buy-in. I agree with sharkyo01. If it's small amount of chips he's pushing with and you have him covered by miles, then you should call with any medium pairs or any good hands such as KQs, JQs, TJs, etc or any good looking marginal hands. Once in a while, I even call with random suited connectors such as 34s if his push is so minimal and wont' even touch my chipstack if i lose. But if it's for most/half/quarter, then not worth it with any unpaired high cards. I even folded ATo or AJo if it's more most/half/quarter of my chipstack. Pocket Jacks are very tricky. Even if he goes all-in and there's 1 or 2 callers, and you're likely gonna lose lot of chips if you call, then you should consider folding JJ too. JJ and TT are only good during heads-up. They really suck in multi-way pot.
But when you have strong, premium hand, such as AA or KK, make sure you reraise all-in so you can kick everyone else out and go heads-up if there's someone left to act.
These tables are fun and easy to grind. In my casino, 1/1 low stake tables are full of teachers, labor workers who never read single book or practiced, and young'ns who came to chill and have fun instead of taking it seriously. They play very wrecklessly. In my casino, majority don't play online and only poker experience they have is playing in casino. They make lot of common rookie mistakes, lot more than online.