I think the US Marine Corps and the Royal Marines would object to being called 'wildlife'!(Maybe not though!) I would suggest 'marine' refers to waterborne activities including wildlife whereas 'maritime' refers to ships and shipbuilding, boats and associated activities.
Over here, we talk about the "merchant marine" when referring to civilian shipping. However, the town where I live, Greenwich, has the National Maritime Museum, which mostly covers civilian shipping...
Build a man a fire and he's warm for a day. Set a man on fire and he's warm for the rest of his life.