That actually doesn't mean much anymore until there is some "on point" binding precedent to come out of the US Supreme Court. I take it you're referring to either the 2nd or 4th Amendments. The 2nd has no cases right ON POINT that are less than 100 years old except for Miller v US and that would seem to be a victory for us, but is never treated as such. Louisiana can always assert 10th Amendment States Rights to tie things up.
My father in law never worried about gun control laws always seeking to assuage my fear by asserting: It's alright son....they can't do THAT it because violates the 2nd Amendment! Well, okay so how did Morton Grove, IL and the State of California and Washington DC and Massachusetts and other places manage to effect total gun bans and have them upheld for decades? There is NO Declaration of Martial Law in NO. That was made crystal clear today. How can they confiscate lawfully held firearms at a LOCAL level? I'm betting that the action violates both State and Federal Law. Yet it's being done.