Well, they don't shuffle conferences in the NBA :p
It would be fun to have Golden State in the East and Boston in the West though.
Not sure if you're aware of this but Spurs (while in San Antonio) used to play in the East, and (with the league's permission) you're actually allowed to move your team to another city, even from East to West (coincidentally, Warriors was one of them iirc).
That said, it isn't impossible to switch conferences in BB either, tho it might need a lot of luck. Back in my former team, I was in a very unbalanced Div I (I started in season 3 so it was Div I for me by default). It was so bad that other than the first placed team in Big 8, all the other teams would not have made it to the playoffs in Great 8 with their game record. In fact the 7th placed team in our conference had the same record as their 4th placed team, but with a better goal difference. So I decided to just throw the relegation series in hopes of making it into Big 8 two seasons later. Sadly it didn't pay off (I got back into Great 8) but technically you will can switch conferences (with a good deal of luck)