How many of you are there? Disney transfers will cost you $35/pp. If you are more than 2pp, you'd be better off with a car service, at least cost wise.
If you carry off your own luggage and get a private transfer, you could walk off the ship as early as 7:30, get in your private car, check in about 8:30 and be in MK by 9. That is if all the stars align. If you take Disney transfer, you have to wait for the the bus to fill before it leaves and that adds more time.
Personal experience, I've gotten off at 9, took a town car to BLT with a grocery stop, checked in and been at HS by 11.