Don't do it.
The preservative will be deactivated, you'd probably boil off some of the propylene glycol and glycerin if you boiled it very long. I don't believe polyquaterinum-10 or PVA/PVP are heat-stable enough to boil.
Maybe nothing would happen (if you were planning to refrigerate the boiled CK) but it's hard to predict. You would not have CK any longer, you'd have something else.
Why do you want to boil it? To thicken? To use in a recipe?