First, learn to use Fahrenheit so that you can correctly interpret posts like the one above. "Below zero (F)" translates to "below minus 17 (C)."
Second, your will be staying overnight indoors--hotels, maybe a few hostels, people's living room couches. Every night, watch the Weather Channel. Then arrange your schedule and route to avoid the bad weather. And be sure to leave enough time to do so--you might have to hole up for a few days while a storm blows through.
Third, you need a way to stay warm while riding. Also dry, since wet equals cold....and cold equals stupidly unsafe on a bike. I don't use heated gear, but most people who ride during winter seem to do so. I use a lot of clothes and a few specialty items (overboots, Moose Mitts, stocking hats that fit under my helmet, windproof neck gaiters, etc.).
You might luck out and get fine weather. It does happen. You might also run short of luck and get pure misery. But I've been on a loaded bike on unfamiliar roads with bad tires in snow, and I've survived it. Probably so will you.
Of course, any half-sensible person would rent a car instead.
Hope that helps.
Mark
PS: and about riding on the wrong side of the road--it's not so difficult, really. I've driven cars and bikes on your side and survived this, too. The danger is that in panic situations you'll either revert or freeze. It's a good idea to practice visualization exercises of your own devising so that part of your brain, at least, knows what to do. But I find it scarier walking in places where they drive on the wrong side than I do driving. As a pedestrian in London, for example, I'm constantly terrified, while riding a bike in Guyana or driving a car in Zimbabwe cities is fairly straightforward.
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