Most of the special characters work best at the unique job class that they are given upon joining your party. Mustadio works well against undead creatures with Seal Evil, surprisingly.
Mustadio has a little bit of innate synergy with the Chemist class as both Engineer and Chemist can freely equip guns without having to equip a support ability. I used Mustadio as a Chemist for awhile until he mastered the class as it allowed him to keep his role in battle without changing anything significantly.