Would Possession work as an Event you can only buy once per game? I'm imagining this version would also have you possess every other player instead of just the one to your left, which would get rid of the political problems the card has now. I feel like this would solve a lot of Possession's problems, though maybe not all. One potential problem is that while it wouldn't discourage building a good deck as much as it does now, it might still discourage megaturns, since your opponent could win by grabbing your megaturn from you at just the right moment. That would require some skill, though, so it might add interesting strategy.
What would be a good cost for this?