Intentionally destroying incriminating evidence is probably not something you should ever do. Certainly not in such a way that leaves evidence in the form of pulverized IC remains all over your kitchen counter.
Depends on what it's evidence of. If you're destroying evidence of murder, treason, or something else that'd guarantee you a life/death sentence, an obstruction of justice charge isn't going to seem like very much in comparison.
Usually there'll be a reason for the police to kick your door down. I imagine that plus destroyed evidence would be enough to prove beyond reasonable doubt.
There might be all sorts of reasons - if you're being busted for fraud or tax evasion and all of your hard drives are mysteriously blank, or there are empty filing cabinets and a big pile of ash then I would imagine that would go down fairly badly in court.
The modern equivalent is a whole bunch of destroyed media - thumb drives, flash cards or hard drives.
Maybe you just put your private data on flash drives and smash it to bits with a hammer for your own personal privacy, or to get rid of pictures of an ex-girlfriend. There's no way of knowing.