The heat gun fix not only did not work great but it warped the plastic minis. I bought a fancy heat gun with digital adjustable heat and no help. I tried gently heating all surfaces and no joy. I think there is just too much variation in thickness of plastic for it to work.
The worst part is that it bent and warped the plastic. I tried the heat gun on three minis, and all three are warped in some way. It is hard to tell from the pictures, the the one on the right is warped to the left. I doubt that anyone will be able to tell on the table top but it irks me.
The new plan is to repaint them. The fogging ruins the mini by ruining the shading. I am going to reapply all the shading and then rehighlight the minis. This is not ideal and certainly not easy.