The cost is also affected by the percent of energy coming from wind+solar+batteries vs. from natural gas. Wind+solar+batteries are cheap when they are used to supplement natural gas. If they were supplying 95% of generation (Levelized Full System Cost of Electricity 95%, LFSCOE-95), then the price of wind+solar+batteries would be $97/MWh compared to $37/MWh for gas, and $96/MWh for nuclear. For LFSCOE-100, the price of wind+solar+batteries increases to $225/MWh, compared to $122/MWh for nuclear and $40/MWh for natural gas.
Source: https://en.wikipedia.org/wiki/Cost_of_electricity_by_source#...
So yes, natural gas is much cheaper than nuclear. But that doesn't mean that nuclear shouldn't play a large role going forward. The moral of the story is that the price of energy is complicated. It's likely that a combination of nuclear, wind, solar, and battery backup would be the best option in terms of price and carbon emissions.