I think to get over it, you have to accept that you have ec and it will never go away, do the best you can to manage it and get on your with your life. I wasted about 5 years of my social life trying to heal this and it didn't work. Now I go out whenever I want and date girls, I just use moisturizer and get on with it.
Also if someone did say something to you then so what they are one human being don't let it bother you. Just say yeah my lips dry out badly but it's just one of those things.
I mean how do you think people with real bad spots/ Acne cope.