This was a huge issue in our community about 10 years back. If I recall correctly, the BSA pulled the charter for one of our troops because leaders of the troop refused to sign some anti-homosexuality pledge that the BSA required.
Nobody associated with the troop was a homosexual - but on the general principle that they were operating in an environment of non-discrimination based on race, religion, sexual orientation etc. the leaders refused to sign whatever it was that the BSA organization wanted them to sign. The local BSA hierarchy was going to let it go, but whatever the next levels up the chain of command were not willing to do so.
The bottom line is that the Boy Scouts got kicked out of our schools, because the schools all had adopted the non-discrimination policy. It was quite contentious, as you can imagine, but things worked out more or less OK because several local churches became the sponsoring groups for the various troops. So none of the troops actually folded or anything, and most found homes in churches within the same neighborhood.
And One Brow, maybe where you live you get young teen and pre-teen babysitters, but I know plenty of college age and older folks (young women as well as men) who babysit, both on a full-time and part-time basis.