In most cases if your local laws are tougher than the state or fed then the local is what you will have to go by , and yes the local can stop or prevent you from getting this lic.
That's why you have to send a copy to the local law enforcement , if there is a problem they will inform the ATF and then you may or may not get it .
This was how it was explained to me by both my county sheriff and my county comm. who is also a FFL holder .
stimpy