I think it probably could be made legal but stringent requirements, inspection, testing, and labeling would be involved.
But, unless I know the animal personally and can vouch for its state of health, I think I would stick to pasteurized milk products.
I do agree that the folks being so rabid about the damage pasteurization supposedly does to milk are what are technically referred to as “nut jobs.”
Besides people weren’t designed to drink any milk except human milk, so what are we doing drinking milk from other species? Maybe they should be protesting the drinking of any milk except human. Now that would be an interesting opportunity for grad students to earn money, instead of giving blood or plasma all the time. Become a milch-nurse!