I’ve been to both Giants and Jets games, have had mostly good experiences. The one bad experience was a long time ago at Shea Stadium, some one gave me tickets to final game of the season that didn’t matter. There were a lot of drunks, I think some of that had to do with it being a meaningless game. I took a date, to impress her, the seats were in the press box. In spite of the fighting drunks, it worked out, she married me.
The only time I’ve ever been accosted at a game was at Hard Rock Stadium a few years ago. The perpetrator was a drunk female Bills fan that decided I was a Dolphins fan, after a Dolphin TD she decided to beat me with a foam finger (don’t worry I’m fine). She did not stop until one of her drunk friends intervened.