These projects are NOT built unless there are binding contracts (usually take or pay) to secure the non recourse financing needed.  Lots of experts would have to okay the project- so the final approval is nearly entirely out of the hands of Alaskans.

Voters did approve a specific project.  You are ignorant of the history.  2002, 138,000 "yes" votes to create ANGDA with a SPECIFIC mandate to do a LNG export project.  Murkowski told the ANGDA board to not do as the voters instructed.  We now have a governor that respects the voters wishes.

Your other points are incoherent.