The replacement pieces come with adhesive inside them. Superglue there would be a bad idea. Hard, brittle, it would squish out of the inside of the molding on to the paint during any attempt at install. The adhesive inside the new gasket is actually pretty good. Those pieces will shift over time. Especially if you have the fairing on and off with any regularity. Dealing with those soft gaskets is just part of the process.
I've put the door edge guards on a couple of bikes in place of the original pieces also. It has done ok. It comes in different sizes so if you go that way be sure you get something with the correct inside width. Also expect a bit of a wrinkle or curl in the outer appearance where it has to turn sharper than it's made for. Heat it a bit with a heat gun prior to initial install to help there.