In fact, it is not possible to understand contemporary art from an known mind, so just enjoy every moment as it comes and be surprised and amused by it. Because lots of contemporary art, regardless of the fact it can be very complicated or utterly simple, is expressing that which is primordial. Therefore you have to "forget yourself" in order to understand the art from the unknown you, the potential you.
After all these years of performing and practicing, I find that contemporary music has become so enjoyable ( most times) to listen to, that I forgot that I once had trouble listening to some of it for many years because of the very same conditioned compulsion to learned from classical music training. So it takes practice to relax and appreciate contemporary art from the unknown me, actually.
So it may be a good idea to remind the audiences before the performance that " there is nothing to understand", and guide them with only needed information from there, instead of feeding audiences more information, making them more pressured that they have to understand. I tried that with Taiwanese audiences last December, and it worked magically.
That being said, not all contemporary music is good. And to distinguish the quality of contemporary- it has to come from the unknown mind again, and that takes both intuition and practice.