Strength does not a good basketball player make.
It certainly makes a better basketball player. If you take two players of equal ability, each working on developing their basketball game for 3 hours a day and for the fourth hour each day one works on conditioning and the other works on a full body strength program, I would be very surprised if the one who works on the strength program doesn't become a better player. In addition to the known benefits of weight training, there is a confidence that comes from getting physically stronger that carries over to the basketball court.
I've seen plenty of talented basketball players that become timid once someone who might not be quite as talented gets a little physical with them.