Well, I was physically assaulted by two drunken men when I was at PI several years ago, at age 22. I look very young (not trying to brag, but at that point in my life, most people assumed I was about 16 by the way I looked).
On the way out of PI, the first guy asked my friend and I what time it was and when I ignored him, he grabbed my arm and would not let go. His friend began making obscene comments to us. My friend yelled at him and make a scene and he let us go and we ran to the parking lot(we were waiting for my aunt to pick us up). I probably should have reported it but I didn't.
That said, I would never bring a teenager, esp. a girl to PI late at night. Earlier in the evening is okay, and I agree that the comedy at Adventurers Club is no worse than Prime time. They'll get it if they get it and if not it will zoom over their heads. But later in the night the behavior of the adults becomes rowdy and NC-17 rated.
I'd say no. But it really depends on your situation. I don't think it's appropriate at all for kids, but then, I don't think MTV is appropriate for kids either.