I'm in Jersey also, and I firmly believe the purpose of that FOID is to single us out.
I know because of an incident when I tried to buy another handgun last year. In an state update of computer databases they had gotten my name mispelled (Barrow). They had 30 years of my gun buying history on file. We got it straightened out, but I was surprised to see how complete the records were...remember, a lot of my guns were bought pre-computer databases. The only guns they didn't have on file were those I bought in the service in free states years before the feds started keeping records.
You are probably better off than I am. You've bought long guns in PA at the shows...those purchases would be brought to the attention of the Feds, but not Jersey. However, your FOID still singles you out as a danger to the peace and security we enjoy here.
I also buy handguns...every one with it's own permit...with notifications to the local, state, and federal gov'mints. I also had a exceedingly rare carry permit in the late 70's. I'm a member of two ranges. All of those records would be used if they decided to come knocking at my door. They've got my number.
The kids are finally out of the house and we're moving to free America. I suggest you do so as soon as you can. New Jersey is gone and has been for a while. Move before that stupid 'smart gun' law kicks in.