Well, you know what some Italians say, when asked how much parmiggiano should you add to your pasta plate? They'll say: as much as you can afford.
So lots of cheese isn't that much of a problem, in my opinion.
It's not a problem, but if you fetch fresh veggies and then you add a ton of tasty cheese, you will miss all the delicate flavour of the vegetables.
P.S. be careful, I'm italian :)
Totally agree about the fresh veggies. And yeah, won't take on the risk of discussing food stuff with an Italian ;)