The rank and file are not backing privatization. Only a few out of touch Union officials at the National level seem to be supporting it, but unfortunately they are who we elected to represent us in the last union elections,so...yeah!
In any case, knowing what I know about our airspace, I highly doubt anything actually happens anytime soon. There will be a lot of back and forth rhetoric and banter, but when it comes down to actually voting it to go private, the consequences that come with that will prevent it from passing both the House and Senate.