CA is brittle. It'll work well for things like a model airplane, where the shock loads arent too high, and if they are something always breaks..the "slope" in my screen name is the type of R/C soaring I do, slope-soaring. Google "dynamic-soaring" sometime. R/C sailplanes going 300 mph...
Epoxy has a 'give' to it. West systems epoxy is great stuff. If youre on the west coast, Tap Plastics super-hard 4-into1 epoxy is great and cheap, if any good epoxy can be described that way anymore...
Yes, squeege out the excess resin. Theres a school of thought among the guys in my hobby that make fiberglass fuselages that a dry-as-possible layup is also the stongest, since the resin is where the crack will start anyway, not the cloth. You can do things to minimize the thickness of the layup by finding a shape (pvc pipe, shampoo bottle,etc) that will fit the area youre repairing, wind a turn of polypropelene drop-cloth around it (since epoxy doesnt stick to it) and clamp it into the area. And when all else fails, get in there withsome 60 grit paper after the fact and clean it up.