Update: Twisting one side of the engine upwards as far as it will go before hitting the chassis does not create enough space to remove the driver's side engine mount at least. It needs like another 5mm to clear the crossmember to pull it out the back, even with the steering rack loosened. So I'm going a different route. I'm going to try the oil pan method. I have a piece of 2x8 I was going to use for this (2x6 would be better but I don't have any) but the header was in the way. So I pulled that first. If they didn't want us to remove it why is it the easiest part to remove?
When you have a tool, you find new uses for it.
Also, gross.
And grosser. I guess I have another leak to attempt to plug...