Can't speak with the same expertise as others who have offered up some outstanding ideas...but...speaking as something of a garage mechanic, I was taught many years ago to avoid putting heat to any metal especially with things racing related, as the heat will change the strength of the metal in the affected area making it prone to potential re-failure...with it being the rear axle in your situation, I think you would be much better off looking for a nice straight used one, just put a message out on here and some of the kart raving related pages on FB, almost guarantee something will turn up quickly....just a thought...