If you seriously make a go at it you Americans be accepted for asylum in Mexico. There is a guy (Gavin I think? Real lanky nerdy guy) from Washington who was constantly criticizing government officials (and even Mexican ones) that was granted asylum.
I also of a guy who showed in in Paraguay, renounced his citizenship to become stateless, and then they just offered him citizenship because they didn't know what to do with him.
None of this is applicable to a government- unless any American wants to find out what it means to be a refugee at the Canadian border.