I'd like to pick up some gloves for stretching mozzarella. I've seen gloves sold for just this on specialty sites like thebeveragepeople.com and thecheesemaker.com, but I can't tell if they're just a generic product sold as something specific. Is there something generic that will work equally well for (1) hot temperatures and is (2) food safe? I'd like to be able to buy it on Amazon in particular.
There is no requirement for specific gloves so far as I know. Gloves themselves aren't actually even necessary. They do however keep your hands clean, and they keep any nasties that could be on your hands or arms out of the cheese. When I make mozz for my family I usually just use my clean bare hands. If I was making to sell I'd most likely use food service gloves with a little butter on them to prevent sticking during stretching, similar to when you're pulling taffy.
The reason why Beverage People and Cheesemaking.com recommend medium neoprene gloves is that they do protect you from the heat for a short time (as in, less than a minute), while still allowing you to get a fairly good grip on the cheese. The neoprene gloves which you link to are fairly standard; search on "neoprene gloves" on Amazon and you'll be presented with lots of options.
However, these will still be somewhat clumsy compared to just using latex or nitrile gloves or your bare hands so if you can stand the heat, you shouldn't use the gloves.