Congrats on the Electra Glide kit , looks like some really nice parts in that one !
I doubt your problem is the plastic or the Purple Power , more than likely it's the type of glue you are using . Liquid cements work when there is a tight fit with no gaps , and they all are designed to work with specific types of plastic . Some work better on styrene than others .
And super glue or CA glue really doesn't make a strong joint , in fact it's very brittle and parts can be easily broken apart . It has its uses but not for anything structural like a frame !
If all else fails , use Testor's Model cement in the orange tube !