Participation in what?
If they want to be part of a team then just go and sign up. Just realize that the people in the locker room are not there for you to leer at, and that the vast majority of them are not gay, and wont appreciate you trying to hit on them.
Whatever your sexual perversions are, do it on your own time.
I see them pushing for, a few years from now, teams made up of men who think they are women and vice-versa. They will demand the right to play on the teams for which they gender-identify. It will end up going to the SCOTUS. It will be ugly in many, many ways.