If they did so, this would be the likely battle:
The BSA, smarting from the massive financial and membership fallout from this horrendous decision, would become extremely aggressive toward competitors. Any vague similarity of alternative boy's organizations to the Scout's program would be legally attacked as a trademark infringement. This would be a legal firestorm in the making.
My personal recommendation is that groups withdraw from scouting without making ANY moves to mimic the old scouting model, for now. I hold out hope that the implosion will be so calamitous and complete, and rapidly so, that real conservatives can soon re-inhabit the old Scout brand anew, with a sodomite-proof resolve.
My dad was a high ranking district officer in the Royal Rangers and I can honestly say that I think that would be a tough strategy to take against the RR, who have been around since 1948 I believe...not that there are no similarities with Scouting, but that they would have to go to court and prove why the similarities that have been around for 65 plus years are now reason for a lawsuit...I just don’t think “cause we made an internal decision that caused half our sponsors to quit would fly.
BUT my question is if there is anyway that such Christian organizations could put aside their differences to form a national coalition to match the size of the scouts. RR is an Assemblies of God ministry, Awana I believe is Baptist, and not sure about the others. The problem would be if they could decide on a simplified common doctrine for joint functions. They wouldn’t need to form one massive all encompassing organization for all things, just an alliance to give national weight to be able to compete with the scouting brand.