The petition seems reasonable as far as presentation goes. The only thing I might change is to put the purpose of the document first rather than last. For example, the Declaration of Independence puts its purpose in the first paragraph. Then clean up the few spelling and grammar errors.
If the petition fails, I think it will be from lack of persuasion and lack of support.
Although it doesn't work against itself, it doesn't do much to persuade. You need an experienced Scouting member to name the traditions of Scouting, and tie them to gun ownership and carry. For example, a CCer or OCer is practically the embodiment of "Be Prepared." That sort of thing. Get more persuasion text into it.
Then find channels for support. OCDO is a good one. Other state gun-rights groups who run forums like PAFOA might be receptive. I don't have much faith in NRA after my experiences with them so I would leave them off entirely or leave them to last. Heck, if they see a ground swell of support at grassroots they might jump on board to something they might have otherwise passed up. Also, NRA might already have some program or relationship with BSA--both groups go way back, meaning they might unappreciate something that interferes or makes waves in an existing relationship. If you go to the NRA, be ready for them to try take ownership of it. They'll want to use it to promote themselves which means they will suddenly promote to their membership how they are at the forefront of expanding gun rights by working with BSA to...you get the idea.
