The reason your analogy fails (although clever to posit it) is that the "gay lobby" in the Vatican is in direct opposition to the (unchanging) teachings of the Church (and the pope). In contrast, in the case of the scouts, the leadership is pushing the homo agenda. Couldn't be more different.
I said “when” they score their first victory (there are some who believe they already have, with Vatican II), what do you do?
When they score that first victory, and turn the Church’s leadership to their side, do you cut and run or stand your ground and fight for the soul of a noble institution that has done so much good?
Do we abandon the Boy Scouts and all they have done for boys over the past century, or do we fight the corruption? It might be at the top, but that doesn’t make it particularly deep. I would instead suggest the opposite. We only have to replace a few of the very bad apples.