Getting rid of the LTP, (purchase permit) will open a can of worms with the 100' fed school zone law.
I wouldn't count on the NRA for anything, but I am 100% in favor of your idea in making a united effort in changing some laws.
Add to the list, removing any prohibitions on guns that have nothing to do with guns. ie. driving violations and some of the other 3 and 8 year prohibitions, and minor non violent felonies.