By comparison, we have 70 years of experience building and operating nuclear plants. We only need to build 4 nuclear plants for each one we currently have to achieve a 100% decarbonized grid. The cost history of nuclear power shows a clear trend that serial production is cheaper than one off builds.
And you are incorrect about nuclear power not sharing components with existing applications. Nuclear power plants use steam generators, turbines, dynamos, and cooling towers. These are used in other heat engine based power plants.