Currently, I believe it is illegal to carry firearms in polling places. However, I believe this “law” to violate the Constitution.
I think if nothing else, allowing the BPP to use weapons to intimidate voters provides a legal justification for voters to arm themselves for self-defense purposes. It would make a great court case because if the government refuses to enforce the law and protect the people then the people have a Constitutional right to protect themselves, even when voting.
I don’t know about all states but there are some that make no distinction between a nightstick and firearm in regards to it being a weapon.