A false analogy is where an invalid conclusion is drawn from a comparison between two apparently similar situations. eg Water is liquid and is good for you to drink. Engine oil is also liquid and must therefore be good to drink. Just because water and engine oil are analogous (similar) in one respect does not mean they are analogous in another. This is a false, and in this case highly dangerous, analogy.

The whole thing is a false analogy.

false analogy

analogy for a ship is analogy for a ship so its an analogy

The statements are false so it is "like talking through your hat".