> While both have long lasting impacts in their waste products

The impact of nuclear waste products is completely overblown. Consider: the whole waste of 50 year of French nuclear production fits in one (1) warehouse. It's not going anywhere, it's not going to leak, it's nicely packaged and, more importantly from an ethical point of view: it's only a burden to the user who benefitted from it.

Compare and contrast with fossil fuels, whose waste is a burden to everyone, including those who never got any benefit from them.