Technically they're not behind the bar at the place I've seen them. There's a bookshelf with some books and the games on them. I never understood why they thought having Buckaroo was a good idea. And noone seemed to feel socially odd about it at all. But this is coming from a guy who has played Pokémon TCG in a pub which plays live rock music every week.
What's being described sounds more like the comic shop I normally play Pokémon at (because they have role players and DnD guys almost every day), but with alcohol. Which doesn't sound like a bad idea but if there aren't many gamers in the area it would sound better to just be a bar which can hire out the function room to role players.
I'd say no to the enclosed booths, some of these tabletop role playing games need a shitload of table space for boards, character sheets etc. And who knows how many people will be playing in a certain game.