I don't think stereotyping accounts for the disportionately high rate of suicide among young gay people...and I know that's not the main point of your post, but it's not a helpful polemic to launch in my opinion.
Young gay people kill themselves for a simple reason: They don't know how to handle the very real hatred with which the way they love is met by the dominant culture. To be deprived of freedom and encouragement to love is to be told, as you say, that the very thing that most enlivens life and shapes us in the most positive ways is not our "right" -- that our love is evil.
No, I don't think straight people by and large have a clue what the experience of such blind hatred is like, and I don't think they ever will. While many straight people are exceptions to this, I don't think homosexuality is every going to be integrated into the dominant culture's orthodoxy as more than a tolerated peculiarity, no matter how much gay people try to appear like everyone else. It will always be the fate of every gay young person to decide whether to live cynically, destructively or lovingly in a culture that mainly declares him an oddity.
To me, this is a gift. To create love for youself in a culture that officially despises your way of loving, to cultivate wit to disarm the brutal stupidity of moralism, to live with the deaths of friends (because of such suicides, because of AIDS) and not give up living, to learn to make meaning out of difference instead of the homogenized fantasy of assimilated values -- all of that matures the soul and it's the reason so many gay people end up as humanitarian and religious leaders.