Sry, that is a terrible argument. You are saying that we do not have to worry about nuclear waste, because we currently do not worry about other waste.
I'm saying that nuclear waste is treated with far more paranoia than it deserves, as illustrated by how we dispose of other waste much less carefully, even though it's just as dangerous. And mostly successfully, too. That doesn't mean that it's something to be ignored, or that current methods of waste disposal are perfect, but if we aren't shutting down the entire chemical industry (for example) over this problem then why should we require that nuclear waste and only nuclear waste be solved for all time before nuclear power can be used?
Exactly. Nuclear waste is one of the best types of toxic waste we've ever seen. It's relatively compact, still able to be used as fuel in the future, there isn't much of it, and it makes itself harmless with just passage of time; no need to treat it with anything.