They could attempt to code share for skyteam. It would be almost impossible however for many reasons. One of the first is that Delta is the dominant member of skyteam and the situation would put them in direct conflict and competition with Delta. I can see no way Delta would not oppose this and control the situation since there is no upside for Delta and would lead to a large reduction in revenue.
The next reason is that it would be cost prohibitive for Skywest to do this. There are simply no facilities and slots available at most of our international airports to support proper connecting banks with the international departures. You need both gates and slots in order to make this work. You also get very inefficient scheduling of your assets to time with international connecting banks.
This is another tilting at windmills thread caused by a desperate CEO's comments at Republic.
If however you do fear this type of situation despite the lac of logic in what is posted then I am sure you are a solid yes voter since the TA has far more protections in this area.