Does superglue work on Lego? I found that gluing pieces of plastic together (especially nice plastic like Lego) is the most challenging of all. Wood, paper, rubber, even metal with welding. The best experience I have with plastics is with PVC and the nasty chemical cements that temporarily dissolve the material.
That said it would probably work well enough for this problem.
You need to use the Kraggle.
The large thing between my ears beats the crap out of a GA thingie any day, provided that the problem is loosely defined 8)