I am with the others that say just take the tree down.
You have an old dozer right? Why not hook some chain to the tree, put some tension on it to pull in the direction you want it to fall, make the cut, and deal with the whole tree on the ground?
Not enough chain tension to cause it to barber chair, but enough to set the direction of fall. Then cut most of the way through, or better yet, have someone else make the cut as you slightly increase tension on the chain to get the tree moving in the right direction.
Just what I would do. Maybe you have a sentimental relationship with the tree that prevents this?
Remember the expression "I shoudn't have done that..." Doesn't apply in this case, but might next time...in a different case...not fun saying that...after the fact...experience speaking here.