I think you're likely OK to shred it since it's clearly expired. I did send back my Mom's temporary to the Drivers License Division with VOID written across it in black Sharpie, or else it would have grown legs and walked away. The date on that one was only on the back, and others were trying to "just use it, who is going to know?" I'd check your DMV state website to be sure though.
I'm stubborn (and a little foolish) and I haven't gotten a hang tag yet.