Not only have they not made any headway, but restrictions have become increasingly strict. If the two are directly related as you are asserting, the restrictions should have been decreased over the last century. Instead, gay activism is on the rise while child brides have become nearly non-existent. If the two have a causal relationship, then the data suggests that enhanced privileges for gays causes a decrease in pedophilia. (I am not advocating this because I think the two issues have no relationship with each other)
And molesting children is still considered a disorder in the DSM. The only changes they've been pushing for is to distinguish between active child molesters and pedophiles who have the desires but successfully overcome them and do not act on them.
This religious persecution needs to stop.