I'm interested in your system: How concentrated is your kalk solution in the ATO? What kind of ATO do you have? I'm considering doing something like this too because I like the pH benefits of kalk but am worried about the lack of trace elements, so I would like to dose some AFR as well.
My system is relatively young, much smaller (75gal), and pretty low demand. At the moment, I'm dosing 120ml/day of kalk at the 2tsp/1gallon concentration with a doser and that's keeping my calcium, alkalinity, and pH really stable. I use a cheap ATO with a sensor and it tends to just dump water into the sump. It will kick on maybe 20 times a day and top off a little under a gallon a day. My biggest concern is that my ATO may be putting too much in at once and I may get random pH spikes.
I'm also considering if dosing an extremely diluted solution of AFR in the ATO would also work for what I want to do and maybe pose less of a risk of spiking pH like kalk would if something goes wrong.