There is nothing inherently unprofitable about nuclear power. I don't know how the situation with regulation, taxes etc on it is in the US (where I presume you are from) which might make it unprofitable there. Do you have any good sources for this information?
I work in nuclear power in Sweden, and the power companies here drool at the prospect of building a new reactor. And if and when the government allows such an endeavor, it will not be subsidized by tax payer money in any way. There is even a law that a certain amount of money per kWh has to go to a (public) fund that will be used in the future for final storage and such to handle the waste.
I hear this anti-nuclear argument that it is unprofitable all the time. But the simple fact is, that if the profit-driven power companies are willing to completely fund the construction, running, decommisioning of a reactor as well as the waste handling... there must be profit in it.