People do use kalk in ATOs, but I don't necessarily recommend that. It's better to use a doser, or even a dripper, or a pump on a timer. Kalk in an ATO isn't an exact science, since evaporation fluctuates a bit, and you may not want to use fully saturated kalk in an ATO because it's hard on equipment.
You'll have to play around with it a bit and see if you like the results. Try cutting your 2 part in half and do the other half with kalk. Test frequently.
The math is in the calculator, as far as figuring out how much of each to add and what the effect on alk will be. The math for how much pH will change would be exceedingly difficult to determine. Now, if you dumped a known amount of saturated kalk in a known volume, the anticipated effect could be calculated. But, since kalk is dosed throughout the day and the tank is constantly exchanging CO2 with your house, it isn't cut and dried.