This seems pretty fakeish to me. Didn't found any reputable sources about those statements made.
Also, if cryptocurrency transactions are anonymous they have no power to forbid this...
Thats the point. There is no possible way to force customer/cryptoenthusiast to reveal their transaction history with all of those upcoming and right now trending private coins (e.g. monero, verge, dash, ..).
Once it gets to this point where the control of the government gets that extreme, most of us will have adopted to a privacy coin.
They have the right to forbid this.. but they won't have the capabilities to execute their ban.
And even considering exchanges, there is localbitcoins and there will be more if there is more demand for 'privacy related' marketplaces