I think you are being overly optimistic about the (both technological and practical) capacity we would have to recapture CO2 from the air, and overly pessimisti

I think you are being overly optimistic about the (both technological and practical) capacity we would have to recapture CO2 from the air, and overly pessimistic about the dangers of nuclear energy. The dangers of CO2 are killing our habitat, and we are going to have to expend much more energy removing it than it took to put it there in the first place, among other things. Plus you can store nuclear waste compactly, and more people are harmed by the radiation emitted in coal plants than are harmed by nuclear power, anyway.