Getting abs may help your game, especially if you can gym/workout with anyone from the group you are trying to penetrate = a pretty strong masculine bond. But that wont get you friends. I have really good abs and this is all it has done for me.
Don't try and penetrate the group outright, just try and be cool and start to make friends with a couple of guys who hang out with them and are liked with them, who have common interests to you.. Get chatting about boxing, and try and join a club with them. make sure you don't seem too clingy or as if your seriously happy to suddenly be doing stuff with them, this will not work in your favor. If you are just friendly and outgoing you will go far.
Quite a lot of what you said I have experienced/experiencing, but I am sure that being good with ladies attracts male friends, too. Most boys got no game. You get game, you get girls and buddies, cos they want to hang around with you more when you have been socially-proofed not to be a loser with girls, and if you are approved by women, then hell, you're good enough for the guys' banter!
just common sense tbh!