I am a member of a national GL. Good ideas don't necessarily get down to the Lodge level. It would take a great dictatorial control to to enforce compliance. That would be difficult to accept in many US GL's.
As indicated, CGMNA and regional conferences (I am sitting in Rocky Mountain Masonic Conference at this moment) are places to share ideas if that is the goal.
By politics in this sense, I mean candidate selection based on who you know (from which I've benefited), bargaining for the policies you want, disliking people because of disagreement, slights taken, going behind one another's backs to achieve your goals, removal of officers. That is all prevalent.
Who would handle discipline? Will it be a national tribunal or only a national appeal? Who will pay for travel of the trial/appellate members? Are we prepared to draft a national code governing our behavior? I have handled national disciplinary issues. It ain't fun and it ain't easy.