Was Tywin going to try and unite the 7 kingdoms against her? We know he was trying to get Dorne on his side. He could've played the "Her father was the Mad King, and she's just as bad" angle, to try and put everyone against her. Dorne was the only Kingdom to resist Aegon and his Dragons.
Assuming Tyrion still escapes but doesn't kill Tywin, I would've loved to have seen Daenerys and Tyrion vs Tywin.
Assuming Tywin lives how does Jon Snow complicate things (if the Battle of the Bastards still happens) what would Tywin have done