This is a confusing comment: your birth name is on your birth certificate, but it isn't the same thing as your birth certificate. Even if it were illegal to "use your birth certificate" (for what?), why in the world would it be illegal to use your name?

Also, for the record: my birth certificate doesn't say anything like that on it. My social security card does, however. But that doesn't actually make it illegal to use as an ID.