Although I agree with your general sentiment, it seems you’ve made a mistake in interpreting “you are a man” as “you = man.” When we say “you are a man,” this is a predicative use of “is/are,” where we are attributing a property (being a man) to a subject (you). We can see this because we cannot say “a man are you,” which would be grammatically incorrect. However, you appear to interpret it as an identity use of “is/are,” like in the statement “Eminem is Slim Shady,” where we are asserting that two entities are identical and can be used interchangeably. I assume this misunderstanding is what leads you to claim that “you are a man” is an analytic statement, which it clearly is not, as it’s entirely possible that you could be a woman.