All little kids want to go away with thier dads on business trips. I dont think Michael necessarilly wanted Anthony to be the Don, but maybe the new consiglerie. At that time Tom was getting on his nerves, and even in Part 3 he still wanted Anthony to go to law school, much like Vito wanted Sonny and Fredo(in the book)to.

If winners never lose, well, then a loser sure can sing the blues.