He won't go away that easy.
The one thing I tell guys right away is that I will be their friend. If that isn't enough for them, then there is nothing I can do. I REFUSE to be co-erced into being a GF. His threat of all or nothing is an act of a cowardly bully!
Do not let him get away with winning by threats. It WILL escalate. You have only known him for two months.
I learned the hard way. Just because they say it's black and white, does not mean that is so. He seems to be trying to push your boundaries until you have absolutely none.
OWN YOURSELF. You will get the Respect that you deserve.