Here is a quite informative 30-minute BBC interview with Muslims (some of whom are openly gay) that attempts to determine Islam's position on gays. I think you may see that Islam is just as conflicted and unyielding on the subject as other prescriptive religions with which you may be more intimately familiar.
Clicking on this URL should open the program on BBC4:
If you wish to listen, do so by March 4 (at which time the link will no longer function).*
* I note that as of today (March 8) the program continues to remain available!