1. Wind energy is cheaper than nuclear in any region with decent wind resources. This does not include most of the southeast.
2. Nuclear plants are designed, manufactured, and maintained by an imperfect species of animal. If nuclear energy were really safe, the government wouldn't need to grant nuclear plants a special exemption from liability, and nuclear plants would be able to insure themselves. There is no country on this planet where nuclear power has competed on even footing with other sources of power and provided more cost effective energy.
3. Plant closing costs and waste storage costs are usually underestimated.
4. If you compare historical subsidies for nuclear power for those of renewable energy, nuclear power is over $50 billion dollars ahead of renewables, yet wind energy already outcompetes nuclear in many areas.
Nuclear is, and always will be a niche market for areas without wind.
Edit:
here is a ten year old data sheet showing the levelized costs of different power generation methods.
The total potential for wind energy is several fold more than the total energy consumption of the human race.
Source
While it is true that wind power doesn't provide on-demand peaking power, neither does nuclear.
Nuclear power always loses on purely economic grounds, without considering environmental impact or risks. The reason investors never build new plants is that they are not cost effective. The reason investors have been building increasing numbers of wind plants is that they are cost effective. Capitalism has already spoken on this issue with the results plain to see. Nuclear power is mostly obsolete. Based on cost trends from the past twenty years, eventually it will probably be cheaper to build transmission lines to distant offshore wind farms than it will be to build other forms of local generation.