You can go to Duke or any other program and be a great bball player. If you go to BYU, you will still be a great bball player, but you will also become a "Mormon Hero".
For example, it is nice that Jabari Parker is LDS, but he will never be beloved like Jimmer, Steve Young, or Danny Ainge. Jabari will always be known as a Duke guy. He could have been a huge LDS hero.
So go visit all the schools recruiting you and have fun, but in the end go to BYU and become the next LDS hero.
P.S.-I love BYU and have a very biased opinion.