In my humble opinion, there is zero chance to make that Ferry time. Traffic going east at that time of day from the airport will be congested. Chances of going through arrivals quick enough to make it is unlikely.
I would schedule the later ferry from Marigot.
I don’t think you gave the date, but if there are lots of cruise ships in on that date, it will take much longer than you need to get to Philipsburg.
I don’t wish to be negative but that’s the way it is here.

Good luck
Drphilsxm