I'm sure I'm not much help with your question as I have a milk cow and no goats. But, I'll share what I know - or think I know.LOL
I use Mary Jane Toth's recipes for most all of my adventures in cheesemaking. She has goats and her books are written with them in mind. But, she does say that goat and cow milk are interchangable in her recipes.
From what I've read, she talks about pasteurization and gives instructions on how to do it. But, I don't remember ever reading anything about having to do that or any adjustments in using raw milk. Specifically, in her recipe for quick mozzarella, she calls for cool milk.
So, I'm not able to help you with facts, just what I've read.
From my own experience, I do pasteurize our milk and that's what I use for mozzarella. I must say that it does not always turn out. I had a cheese disaster just yesterday. But, I won't give up!
BTW, would you mind sharing your recipe for mozzarella?