All that will happen from this is that criminals will find ways to move money without cash (like bitcoins, etc) and the only people caught will be non-criminals or really stupid criminals. Everything evolves in reaction to pressures.
There was a case a while back where someone was convicted of being an accessory to a serious crime and jailed for an extended period because they lent their car to the perp, who - inexplicably - didn't mention it was going to be used for criminal activity.
The prosecutor argued 'No car, no crime', and the jury bought it.
To me that's like arguing 'No clothes, no crime' and jailing the board of Walmart for selling underwear. Or 'No food, no crime' and jailing the staff of a nearby diner.
