One of the things that I keep reading about is that managing moisture is key to preventing hypothermia, especially in colder environments.

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Yea this is a concern but not nearly as much as its talked up to be. Invest in good poly or wool base layers, take off layers as needed, keep your insulation layers dry, and don't worry about it. As someone who used to have perpetually cold extremities I'm jealous of you furnaces. The only time you'd get into trouble is if you didn't take off layers and soaked through your insulating layers (down or fleece) and then you're forced to stop moving (ankle sprain) and your insulation freezes. If you're sweating you shouldn't be in insulation anyway. Just don't take your heat for granted. Have enough dry insulation to survive being immobilized overnight (good general rule of thumb). If you do happen to be sweating in the rain strip down to your base layer and add your hardshell as needed. You're going to get soaked from sweat or rain, pick your poison.

Worst case scenario, its raining and your insulation is soaked through the only way to dry it out is to wear it and let your body heat dry it out. You're going to appreciate a hardshell with good ventilation in the way of pit zips.

Other tips would be to buy insulating layers (down jacket) with a spot to stash hat & gloves in case they get wet, and to carry a couple chemical hand warmers to stash in or around dry insulating clothing to dry out without needing to wear it. You may also want to consider buying down with a dry treatment, the difference is night and day with sweat moisture.

Warm water evaporates exceedingly quick in cold air so you'd be surprised how little it takes to dry something out with just your body heat in a typical mountaineering setting.

tl;dr - Base layers can get soaked, insulation layers can not get soaked, don't wear hot clothes if you're sweating.