The mechanism-first fix
Keep the heat low and take it off the burner to melt
Casein clumps past a real temperature threshold, not a
vague one. Melting off direct heat, or on a slow cooker's lowest
setting, keeps the sauce under that line.
What to do: pull the pan off the burner (slow
cooker to low, not high) before the cheese goes in, and stir it
through residual heat, not active heat.
Documented, not our own number
17 recipes grate
their own
Grate your own cheese for standard insurance
Every other page on this question leads with this, and
outside documentation backs the mechanism, even though our own
comparison couldn't confirm a smoothness difference directly.
What to do: buy a block, grate it yourself, toss
it with a spoonful of the dry pasta before it hits the sauce.
If natural cheese keeps
breaking on you
4 cooks say so
Borrow an emulsifier from processed cheese
Mix a slice or two of American cheese in with a
natural blend, especially a sharp, drier cheddar prone to breaking
on its own; its own emulsifying salts help hold the sauce
together.
What to do: stir it in with the rest of the
cheese, off direct heat, the same way you'd add the natural
cheese.