Mrs WBill has a number of gay friends. I forget how we got on the topic, but she mentioned that they all were "As much of a man" as me.
Insulted, I replied that gender isn't what makes you a man. And, that if she didn't understand that, then she never would.
That particular conversation has never arisen again. :-)
I agree, but I would reword your statement to say:
“...gender positively makes you a MALE, but it cannot make you a MAN.”
The definition of gender is "the behavioral, cultural, or psychological traits typically associated with one sex". Gender is exactly what makes you a man. You confused the term gender with that of sex although "genitalia" would have also worked in your statement. While this is a common mistake it's more painful when you use it in an argument mistakenly.