[Ron Wood]

Aaron,
There is also a version of cyanoacrolate instant glue that I used at one time for model building that was a two part product. The basic cyanoacrolate glue plus an accelerant that was called a "kicker". The first part did not set up immediately, giving you a few seconds to properly align the pieces. The "kicker" was a mist spray, and once the pieces were properly positioned, a shot of kicker bonded them immediately, and for all practical purposes - forever. And, as you stated, properly applied it is invisible.