If they took the fizz out, there would be a ton of posts complaining that the sound was too sterile.
The cool thing is you get to choose how much of that you want:
As for the noise, that's noise coming from your guitar, being amplified by the high gain of the amp. You have choices here, too: either shield your guitar, remove the source of interference in the room, use the noise gate, or live with it.
Righty with real amp at those settings, there was a ton of noise coming from the amp (not the guitar). The Axe-fx model did not have that (that is a good thing). The Axe-fx does not emulate the self-noise of the amp.