I don't see showing your permit as advancing 2A... It's just using an approved form of ID. Have the VA code with you if you do so you can put the smack down on anyone trying to deny your right to vote.
Surprising fact Greene County has apprx 3400 permit holders yet the County population is just <20,000.
OP, forgive me as I forgot about those that don't have the option to carry because of their polling location.