Corpse,
Transport has nothing to do with local law. Its all in FOPA. As I said earlier, look up the terms of the safe passage clause. This covers every state in the land. On a practical matter, CT LEOs don't make a point of hassling people who are passing through and have everything in the trunk.
There have only been 2 prosecutions of people under the state's AWB. The first was a NRA sponsored test case. The person essentially asked to be arrested so that the NRA could attempt to get the law overturned in court.
The second was an idiot who was drinking in a restaurant and then brought the gun into a restaurant, uncased it and showed it to his friends. The police were called. Then, if I remember right, he tried to discard the gun in the woods nearby. Idiot.
Two - thats it. And neither was the result of an active police desire to nail someone.
So again, on a practical level, if you don't go looking for trouble, you won't find it transporting a gun covered by the AWB through CT.
As I said above, bringing it into the state to shoot with some friends, would definitely be illegal.
Bringing it in for use in formal training or an officially sanctioned shooting match, I'm not going to guess at. Thats the really grey area that I'd be interested in learning about.
And again, all this only applies to 7.62 x 39 AK variants. Any other caliber and the weapon is covered by the evil features part of the law . i.e. no flash hider, collapsible stock, threaded bbl, or bayonet lug.
Don
p.s. Again, for reference:
http://www.jud.ct.gov/JI/criminal/glossary/assaultweapon.htm