Qhats the fastest way of getting fro mairport to naval base?

Taxi is the only way, try to use uber. you have only 30 min of "free: internet access inside the airport

Taxi is the fastest medium of travel aroind 34 min

Taxi or bus service I think is your only option to Great Lakes Naval school. There might be a commuter train stop there but not sure if it connects to the airport.