Part of what will determine Tillerson's actions- if he is confirmed- is what conflicts he has.  The enhanced scrutiny of Tillerson has revealed his cozy relationship with Putin, and also Tillerson's directorship in a off-shore corporation that owns gas and oil interests in Russia. 

If Tillerson does not divest himself of these massive conflicts Alaska will be thrown under the bus.

(Neftegas is the corporation Tillerson is a director for, incorporated in the tax haven Bahamas.)

It is also worth a mention that Exxon/Tillerson were so busy kissing the Emir of Qatars' behind that it was made clear that the Alaska LNG project was never going to progress with Exxon as the Emir told Exxon it would face consequences in Qatar.  (Can't let that Alaska LNG compete in the global market- that might reduce prices).