We drove to Cape Liberty from Maryland and I was surprised at the ease in getting to the port. We arrived at Cape Liberty about 12:30-12:45. There was a line of traffic to the area where you will drop off your luggage and travel companions; however, the line moves relatively quickly. Although from this area to the ship is only a few hundred feet, you will be bused to the ship.
As others have stated here, from the time you drop off your bags until you are on the ship, it only takes 30-45 minutes at most. Your next stop will be Deck 11-Windjammer for lunch unless you arrive after 1:30 p.m. then you can go directly to your cabin.
We booked an interior cabin, Deck 9, on this cruise. It was a bit small, but very workable. As always the room steward was excellent. It is a nice touch they know your name as it makes it feel as if you get a bit more personal service.