There is only a limited amount of nuclear fuel on Earth (not counting something like deuterium deuterium fusion reactions which likely will never be feasible in full scale) - granted, the amount of fuel we have with right technology (fast breeder reactors, thorium reactors, etc) will last a period measured in centuries, not decades.
Even as someone who's working in the wind energy industry, I believe that nuclear power is clean and safe energy source that we should be actively developing and perfecting, and I'm in agreement with you that nuclear option has gotten the short end of the shaft.
However, the pure renewables like Wind and Solar do have a place in the conversation, and many of issues you cite are overblown (wildlife impact/noise) or technically solvable (wind stopping - there are papers showing that by tying the entire eastern seaboard into a single grid, you can ensure certain amount of base load capacity). There are still unexplored places for wind energy (deep offshore, high altitude) that hold a lot of promise, with technology that already have been developed.
If we have the will to go ahead with a full blown nuclear option, then by that time, we'd have the will to go ahead with updating our transmission infrastructure. And if we ever end up in a pure electric transportation sector, we'll have 250 million batteries-on-a-wheel that can soak up the extra generating capacity on windy/sunny days and dump it out on cloudy/still days, with nuclear likely providing the baseload capacity.
I see transitions from coal to natural gas, then to nuclear, but as a stepping stone while we perfect the pure renewable solution which is the only thing that will ensure the survival of human species unless we decide to go gallivanting across the universe collecting resources from other planets. Even then, energy dense nuclear fuel will be too valuable to waste in heating up homes and food - they'll be closely guarded as a means to get to those said energy dense planets.