Stop it, I can't take much more of this blasphemy!
I can understand wanting to lighten your load, but sell that stuff! Even if you wouldn't have gotten much, it is still better than nothing. Plus, you can't just trash pieces of history, those mean something to certain people and those are the ones you should find to sell the stuff to.
Do people put baseball cards in the shredder? Do people mail collectible stamps? Do people put rare coins in vending machines?
No. NO.