OK, then you have a camping club, not a Scout Troop.
"The patrol system is not one method in which Scouting for boys can be carried on. It is the only method." - BP
I would submit this is where you have to start.
“The formation of the boys into Patrols of from six to eight and training them as separate units each under its own responsible leader is the key to a good Troop." - BP
If you cannot get other leaders to agree to this concept, and to help implement it, then you should leave and find another Troop...one that uses the Patrol Method.