Update. Got the propane torch out today, had picked up a soldering kit from WalMart last week.
Sanded, blew off the parts clean, fluxed the two surfaces, clamped em together w/ vice grips, and wiped the excess flux off.
Heated w/ the pipe torch, applied solder, heated some more, applied more solder, heated some more.
Let it cool, popped the vice grips off, pieces fell apart.
Fluffy tells me I'm supposed to clamp, then flux. Will try again.
Right now I'm just trying to get the pistol grip boss pieces together.