I don't want to get into a shooting match over ballistics, but you can shoot his legs out from under him with a 410 or blind him. Home defense is shooting as a defensive action. If the shooter can choose his target point, isn't stopping them going to be adequate for defense.
Knock down the BG, then get the hell out of there.
6-.410 rounds will very easily put down just about anybody, leather coat and all. Snake shot into a BG's face will certainly stop them with out killing them.
If they can't see you, they can't advance.
JMHO