Why would they get Westbrook? 
Just like you said, they are on a rebuilding process and surely they wouldn't get a veteran player who is not on his prime years anymore. It's much better for the Jazz if they bet on the younger ones rather than the veterans, and if they get some veterans, that should be reliable enough to lead the team. Rumors are saying that Jordan Clarkson might receive an extension rather than a trade.
Just like you said, they are on a rebuilding process and surely they wouldn't get a veteran player who is not on his prime years anymore. It's much better for the Jazz if they bet on the younger ones rather than the veterans, and if they get some veterans, that should be reliable enough to lead the team. Rumors are saying that Jordan Clarkson might receive an extension rather than a trade.I guess if the Lakers offered Westbrook and a lot of draft picks, the Jazz would probably take him. It would be an attractive deal for both teams. Besides, as mentioned earlier, the Jazz management is rebuilding the roster anyway, and they obviously don't care much about where they finish in the upcoming regular season. So Westbrook, who has only 1 season left on his contract, wouldn't ruin anything for the Jazz because the Jazz would be outsiders either way.