We definitely have the cart way out in front of the horse in this one.
It seems like such a waste of good material to elect a governor to control build queues in a single city. I can understand it if there are going to be additional cities in that province, but in this case, he/she will only have one city, forever (barring relocation of the capital, in which case he/she will have no province).
If the capitol begins construction of a wonder of the world (likely since the corruption is minimal), it is conceivable that the governor might not have to submit a single set of instructions at all over the course of an entire term! This is not an effective way to employ capable leaders.
We are forced to live with the capitol province, but must we appoint a governor to that province? Certainly it can be managed by the Vice President or by the Domestic Deputy. This responsibility would certainly add clout to those positions and the responsibility would stay with the position, so there is no danger of that individual being promoted to a conflicting leadership position.