They will more then likely move this, no big deal
I am pretty sure the splines on the 3 spd tranny and the pickup 4 speed are the same, and bellhousings should interchange. The truck four speed is a top loader transmission.. and it seems like I have the shifter for it. I dont know about the bellhousing or clutch between your 3 speed and the car stuff... and I know for sure you can buy an aftermarket shifter for the car 4 speed