Bill,
What a mystery. If you are able to really oink on the long cheater bar and absolutely nothing moves my thought would one of the major rotating pieces, or a piston.
Is it possible to get a better advantage with a bar on the ring gear somehow? Sometimes a frozen spot can be popped loose with a super effort and unless major material has smeared and transferred, the engine will 'self heal' so to speak.
Toyota's are tough little farts....keep us posted!
Stuart