Both the state governments of Nevada and New Mexico have pushed back on long term storage plans, and the federal government appears to have no current solution.
In 2010, there was an estimated 250,000 tons of nuclear waste [1]. The oceans naturally have 4 billion tons of uranium [2]. It seems to me that even the very dumb solution of scattering our nuclear waste across the oceans would have a negligible environmental impact compared to other destructive activities.
[1] https://en.wikipedia.org/wiki/Radioactive_waste [2] https://www.pnnl.gov/news/release.aspx?id=4514
Sure it would be nice if we could have infinite solar power but until then, nuclear is far cleaner and safer than anything else we have today.
Then on top of that, I even moreso don't believe we can build a stable society long enough to oversee and manage long term waste. We can't figure out how to handle two-generation problems well yet, taking the risk on a 10 generation problem seems to just completely fail to address reality.