A beach cat will never make it around the world. I went to Patagonia and I have seen Cape Horn. It would be suicide. There would have to be a layover somewhere and the conditions would have to be perfect otherwise there would be trouble.
I was suprised to hear someone went across the Atlantic. I've been on a commerical fishing ship in the north Atlantic and I was getting cabin fever on that. A 20-foot raft (essentially that is what you are in the middle of the ocean) would be the toughest test of anyone's life mentally and physically.