When there are no dairy farms there will be no cows
That doesn't follow. I grew up on a small mixed livestock and arable farm. It wouldn't be economic now , and even then grandfather subsidised it from other income. Now it would only be viable as a hobby/lifestyle farm. We didn't keep dairy cows except one Jersey for milk and butter for our own use. Thinking on it my grandfather must have let them keep her calves longer than if they had been kept for commercial use. The cows themselves must have been kept longer than if they had only been kept for commercial purposes.
We also kept sheep and a few (obviously free range) pigs and ducks and hens. My brother still owns the land but now lets it for seasonal grazing and just keeps some for his horses.
It would be perfectly possible to use it for a very low intensive, self- supporting food production with animals being allowed to live out a more natural life.
I'm not fully vegetarian. I eat some fish and occasionally game in season.
If I'm being honest animal rights and animal welfare are something I feel much more passionately about than feminism. Women have the ability to fight for their rights ; animals don't.