No.
The only way I'm giving up three unprotected first round picks is if it's part of a trade package that gets us a bonafide All-Star (or a young stud with potential to become a bonafide All-Star) in return.
I'm talking Carmello Anthony, Kevin Love, Roy Hibbert, Demarcus Cousins, LeMarcus Aldridge. Even in some if those cases I'd be hesitant.
In today's NBA unprotected first round picks from lottery trans are worth way to much. Noah is good, but he's not THAT good. In our current rebuilding state I'd rather stock up on< 25 year old talents rather than guys going on to 30.