Interestingly LDS has always been its own offshoot anyway and does not mingle their Troops with non LDS folks. They do run a camp on Catalina island that is wonderful and they are some of the best kids I’ve met in Scouting when it came to working with other Scouts that went to that camp. You do not have to be LDS to go there.
Is this the old Cherry Valley Camp that the Boy Scouts used to run before they lost the lease? They lost the lease in the mid/late 70's if I remember right.