I've commuted in icy conditions in Portland and Seattle. I've gone down once in freezing conditions but it was surprisingly on hard-packed fresh snow rather than ice (I was also still a novice rider). I've seen cars careen around because of these conditions.
It's much preferable to have dual sport geometry to control your balance dynamically, and some offroad-oriented tires to deal with the actual traversal.
Mainly, just consider the conditions that promote this: resting moisture on the ground just before an overnight freeze, and then consider where it will likely form. You can get around it quite easily if you understand where it's going to happen (not just geographically but what part of the pavement in that area will get the ice vs stay dry). It also helps to plan a route that minimizes elevation changes and slow down to avoid requiring traction. Preferably, delay commuting until the sun is shining so that either it melts the ice or visibility is good enough for you to see and avoid the traps.
