For a long time, all vegan cheese was bad. Some was horrible. But recently there some that made from primarily from nuts and beans that are quite good.

For a mozzarella, I recommend Miyoko's https://miyokos.com/collections/vegan-mozz

Reading "How Not to Die" gives pause on the long term health impacts of eating dairy based on evidence from nutrition studies.

Eh, Mozzarella is a tough one. I'd agree there's little options there yet, but I don't use that often enough to know if there's anything new (the wife also prefers getting a ball of fresh mozzarella sometimes, so I don't bother with alternatives there).

Cheddar though... I'd have to disagree. To each their own though!