Hi Vass,
Love and peace are in short supply around here friend. . .Lol
You won't go far wrong with those Electonic components and ballscrew specs.
Now people on here who have not experienced these components are going to say that for the price of those drives/motors you can buy servo's and they would be correct.!! . . . But this Stepper setup is much easier to setup and get/keep running than servos, almost plug n play.
They match servo's for accuracy and if you don't need the speed servo's offer then basicly there's nothing between them. (Same holds true for any stepper correctly setup and tuned)
Only thing is don't be tempted to go for the lower powered drives as you'll want the high power to get the speed from the motors you need.
The CSlabs motion controller is second to none. I use both the IP-M and IP-S in all machines I build and can tell you 100% it's the best by far in it's price range. Also if you do decide to go with servo's then it's more than up to handling high count servo encoders with loads of I/O. Infact it's actually designed more to suit servo's than steppers with features to Home from servo drives Index signal and other servo specific features.
So your spec so far would give you a very very accurate machine more than capable of doing what you require.
Forgive me but I've not trawled back to far thru the thread but now you want to cut Ice but don't know the machine spec.
What size is this machine.?
What material will you be using for the gantry and approx weight.?
What feeds are you looking for to cut with Ice.?