I don't mind Booker playing with the ball more, as the primary offensive player like Joe Johnson was years ago for Phoenix in the year before Nash returned or how he played in Atlanta. There are a number of SG's who have been the primary ball handler and playmaker for their team in the last few years like Ray Allen, Dwayne Wade, or Kobe and I think Booker can follow down that path. We should try to get a knockdown shooter to play alongside him in the backcourt who is also a good facilitator. We don't need to move Booker to PG though, I don't like the idea of pushing him to SF but that makes more sense than moving Booker to PG full time. He's definitely the sort of player who you want to maximize his talent and to do that I think you need to let him play a consistent role throughout every game and moving him to starting PG or even backup PG isn't the right way to maximize his talents.
It'd be easier to bring in another PG whose skills compliment Booker than it would be to find a SG that is good enough to push Booker out of position. Bledsoe deferred to Booker a lot on offense before and I think he would even more if that's what was asked of him but I think it'd be better to trade him for another young player, sell while his value is high, and bring someone in that is closer in age to Booker so we can build a team that compete for years to come instead of trying to retool every couple of years around Booker.