I took DD to a soccer game around bedtime when she was 9 months. It did not end well - she screamed the whole time, and I gave up and left after 40 Mins. She was much easier to take along when she was younger. It could go really well, just wanted to tell you my experience so you can brace yourself in case. That said, if it's easy for you to leave, I'd probably give it a shot.
Once he was too big to sleep in the bucket seat I stopped bringing him out places at night unless there's a quiet spot I can park him in the stroller which you're unlikely to find at a basketball game outside a private booth. I would try a practice run before you attempt this. Maybe try letting him take a car seat nap and then grabbing dinner around the same time?
I'd try. It seems like a fairly low stress environment. I took my kids to a baseball game not that along and it was fine. DS is a bit squirmy these days and didn't sleep but he wasn't awful by any means either. He was quite fascinated actually with everything going on.
I think as long as you go in with the right attitude, everything will be fine. We took my 7 month old to a college football game last month. Kickoff was at bedtime. It was a non conference game so we were able to get him a really cheap ticket. We went in knowing that we would leave at the first sign of trouble. He lasted 8 minutes into the first quarter and we were ok with that.
Go for it! We have taken our kid to every bball and football game at our alma matter since he has been alive...he loves it! The old people around us play with him and he generally has a great time. Knock on wood, but we haven't had to leave early yet.
Note that I FF and his bed time is around 9, but he is not a melt down kid if we are out later.
No harm in trying as long as you are okay with leaving early if you have to. I would probably get ear protection though (Baby Banz sells some baby ear defenders on Amazon).
We have season tickets to our local college basketball team and are planning to try to bring N as much as possible. We are going to try and wear him (even though I don't know if he'll go for it, he's in an active stage), walk around, and if all else fails cut our losses and leave early.