“Boy Scouts has always billed itself as a Christian organization.”
Sorry, not correct. The BSA is part of a movement started in 1907 in England called the World Scouting Movement.
Belief in God, a supreme being, is all that is required. In fact, atheists are not eligible to join. Agnostics, on the other hand, fill their ranks.
The BSA actually offers religious medals for Buddhism, Taoism, Islam, Judiaism, Catholicism, and Protestant Christianity.
A Scout is Reverant, not necessarily Christian.
Not my understanding and they are most often housed with a Christian Church.