No... and those are two different things. If a person is not a member of the AMA they don't have to do anything the AMA states. Anyone can be a "community-based organization", it's not some magical thing that the FAA gave permission to, no forms were completed, no authority granted, etc. Nothing. It's just the FAA stating if a local organization wants to create additional, more restrictive rules that can be applied to someone, they can do this. It does not give anyone control over anyone that does not want that control applied to them.
The other aspect is that the AMA has been asked to sit on the FAA's Advisory Board which helps the FAA create regulations on model aircraft. But that is something different.
I'll give you an example of how your statement would not work. The AMA comes out with a rule that no one can fly higher than 10' unless they pay a $100 fee. You seriously think the AMA can create laws, rules and regulations beyond it's own members? If you do, I have some US Code that says otherwise that you may want to read. What you are als stating is that even non-members need to affix their AMA member number to all their aircraft... as this is an AMA requirement. Not sure how that would work if you are not a member.
Again, the AMA only puts out rules that they members are required to follow, no one else. The AMA has no control over non-members at all. The AMA does not make regulations and rules that apply to the public. They don't work for the FAA.