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Of course the other problem with this road is that it will be snowed in half of the year and it is primarily linking up two sparsely populated areas with little industry or population. They're not talking about laying down cement from London all the way to NY, they're assuming you'll use existing roads for the majority of the trip. This is just about filling in a few gaps (including the incredibly expensive one over the ocean).
That said, if you talk about maybe just a ferry service over the strait this isn't completely unreasonable. You would need something to link up Alaska with the lower 48, but I doubt Russians would be paying for that.