Ask if he has other positions or titles. It seemed to be common that a political appointment/position came with an administrative appointment, in order to grant the person sufficient authority. As for this particular title, you can mention it if you can convince the adjudicator that your advisor is a ranking official and has real power, i.e. , his recommnedation carries a lot of weight.
It's always a good idea to have your former adviser's letter. You probably know some Universities list such a letter as mandatory for faculty candidates, or demand an explanation when the candidate cannot provide it. Your grad school years is a crucial period in your professional life. Who's better than your former advisor to introduce it to your audience?