Why would they pull out? Taxis existed before Uber and others. Either a) Uber at scale can't compete with local taxi service which will return pretty quickly, (so Uber would die anyway in a long run) or b) they will be completely fine with a few tweaks around scheduling / number is drivers.
To be fair, taxi service in seattle was quite awful during the pre-uber times. It was usually best to pretend they didn't exist unless you were at a location they congregated frequently (the airport, for example).
Hopefully, the prompt and transparent service that came with Uber is here to stay even if the company itself isn't.
As long as Ubers and taxis are subject to the same rules, I'm fine with it. If this minimum wage requirement does not also apply to taxi drivers, then it's very suspect to me.