The real vote, and you know this as well as I do, was the closure vote. Once that was lost (on to the vote to confirm) Lynch was a done deal. Often the REAL VOTE is the closure vote.
Ted Cruz picked the wrong hill then he decided to take on Walker's current immigration policy. His current policy is a winner with American voters and workers. I like Cruz, but if he is going to take on Walker on immigration, he'd be better off painting Walker as a flip flopper and untrustworthy on the issue.
If they are to end up on the same ticket (either way), then they may focus more on why their position is the better one and not “directly” attack each other's positions.