Quoted:
Does anybody know CT statue that covers this
kind of stuff?
The short version is if you have a pistol permit you are covered at the range.
Long version (lets see if I can get this right)- CT does not define what an "SBR" is instead refering to the Federal definition. However, the way CT law is written is that anything with a <12" barrel is considered a pistol while anything with a stock is a rifle. However, no distinction is made between them so that a stocked weapon with a <12" barrel is BOTH a pistol and a rifle per statutes. As such you need a pistol permit for weapons with a real short barrel (i.e. I have a 10.5" SBRed Colt which I can bring to the range and legally shoot since I have a permit).
Now- like all laws they use the worse case against you. So you could not CCW your SBRed Glock in a HERA stock since it is a rifle and it is illegal to walk around with a loaded rifle in this state- in other words your permit will be invalid for CCW as the statutes again would identify an SBRed Glock HERA as both a rifle and pistol. Given a choice between picking the definition that will keep you legal or picking one that will turn you into a felon the CT law enforcement branch will always opt to turn you into a felon.
That about covers it.