You're doing the old timey, traditional tinker one (or SEVERAL) better! Kewl!
I suspect that the minisplit is an electrically powered device, so my thought is to install one (or 2, depending on your personal and latitudinal requirements) small, ceramic heaters.
In my experience, they aren't huge amp hogs, and will keep your shop well above freezing (ceiling insulation dependent). Electric heat doesn't add to the interior moisture burden, either. Jusayin'. NOT a bad thing...
The reinforced partition should be decently insulated, so before you get in gear to get machining; open the intervening door(s), set a floor fan within the shop's entry blowing straight forward, and then proceed to relax, and savour a cup or three of coffee while the shop gits itself acclimatized and ambientized.
Thermal vagaries might require that pedal elevation above grade MAY be temporarily called for during said atmospheric handling procedure.
Tolerable temperature thresholds notwithstanding; after a goodly part of 2 decades living in New England, with it's attendant winter Nor'Easters, goin' 3 years now in Texas and I'm finding that 68°, while watching the sun set in shorts and a tee (Me. Not the ginormous glowing gasbag) to be approachingly chillingly.
I think I did alright, subjected as I recently was to a 24 hour/no power scene, all the while the overnight temps went negative.
In any event... your individual cubic-footage mileage may vary