Haven't sailed out of the BCT yet, but this is the info I have gathered from other sources of information:
May take some time to get a cab upon disembarkation.
Yes, you will see the Statue of Liberty when you sail away.
How will you be getting to the BCT? If by car service or taxi, especially taxi, have the address and directions to the terminal with you as the terminal is fairly new and not all drivers know how to get there.