Everyone, I mean everyone including your music hero's make clams some times. It happens, maybe it is that lady in the front who is trying to make a spectacle of herself, or some crazy person on the dance floor. I remember many moons ago (when I was still a drummer) we played a private party (a well paying gig too) and the wife of the host decided to dance between the front line and me, taking off her clothes. Yup, major clam. I had to close my eyes. Lead player looks back to give me the eye for the clam. He lose's it big time, wank, squak, guitar in park. The same guy could never deal with a drum solo where I would go off time and then back on at the end. It was priceless to see Jerry totally messing up with his face dropped off as he gawked.
How do you get over stopping? Like everything else in music: Practice, Practice, Practice. The show must go on. The music has to too. In the end it is a mind set. I ain't stopping for nothing! Been places where the power went out in the middle of a song with a packed dance floor. I the drummer never stopped I kept the floor going for a good 5 minutes before the power came back up. Never missed a beat because I had made those mistakes in practice and some times at gigs. You will learn.
One more story. We played this very popular club in Sacramento, Shire Road Pub. I blew thru the start of a change. What I did to recover was magnificent. We had it on tape too. I listened to the tape a zillion times and could never figure out how to do what I did to recover. It was like some one with real monster talent took over and saved my butt.
Clams we all make em. And here is the insight you need most. The difference between an Amateur and a Professional is not the lack of mistakes, it is how they recover from those mistake. Mistakes happen, a pro forges ahead and often that mistake provides a different insight into the part blown. So learn from those mistakes, embrace the fact that yup I ain't no machine, I am a human and I will make mistakes.
As an aside have you ever heard a recording where there is a mistake left in place because all that surrounds it is so great. Or every watched a show and some one will look at one of the other guys because they pinched off a mistake. If you pay attention you may even see them laugh and just keep on going.
Good luck man. It's a journey and a road ALL OF US have traveled.
best......