I've seen some really nasty wrecks on the race track caused by people doing a less-than-perfect job of altering a steering wheel shaft. If you choose to make a change, enlist the help of a very skilled machinist, and the best welder you can find. I'd suggest machining a sleeve to fit over your splice, and after the shaft is welded together, cross-drill the shaft and sleeve, and pin it together so something other than the weld carries some of the turning load.
Jerry