Start with Liquid Wrench. Set the unit such that the fluid wont get into sensitive parts and give it a liberal dose. Probably set things on a rag you don't care about. Let it soak overnight. That might do the trick. If not, then place some aluminum foil around the area where the shaft comes out to protect things and use a paint remover air gun to heat up the shaft. If you have a high power solder iron, that might do the trick too. After heating the shaft up, use that vice grip to loosen things up.
I have had good success using that approach.
Several days of Liquid Wrench did it, thanks.