U.S. Constitution Article IV, Section 4

The United States shall guarantee to every State in this Union a Republican Form of Government, and shall protect each of them against Invasion; and on Application of the Legislature, or of the Executive (when the Legislature cannot be convened) against domestic Violence.

The United States Constitution "shall guarantee to every State in this Union a Republican Form of Government".  If New California State is to become a State in the Union it MUST  guarantee a Republican Form of Government.