The given question asks which among the listed options is incorrect.

Option 1: The Gulf Stream is indeed a warm ocean current that originates in the Gulf of Mexico and moves towards the Atlantic ocean, making this statement correct.

Option 2: The North Atlantic Drift, also a warm ocean current, carries warm water from the Gulf Stream towards Western Europe. Thus, this statement is also correct.

Option 3: The Labrador Current, as mentioned, is a cold ocean current that flows from the Arctic Ocean down towards the Atlantic, making this statement correct as well.

Option 4: The California Current, contrary to the statement, is a cool ocean current, not a warm one. It flows along the west coast of North America from the northern tip of Vancouver Island southwards to Baja California. As such, this is an incorrect statement and is the answer to the questioned asked.