The constitution doesn't matter?
Yes, it does.
It's a RIGHT to bear arms under the constitution.
It becomes a PRIVELEDGE at the state level, as they are RESTRICTING the RIGHT that is guaranteed via the CONSTITUTION.
Reread my earlier post. A jurisdiction can be MORE restrictive, but not less. The litmus test is if it's constitutional or not. A state supreme court would make that decision and it might possible go all the way up to the US Supreme court if needed.
However, seeing as many judges weigh their decisions on the "greater good", it would probably stand as constitutional, as in NOT conflicting with the higher law, which is the US Constitution.