Binance will be fine, but if regulators get to them I can envisage they may be required to do KYC for ALL transactions (not just above 2 BTC per day).
If that happens... well I won't be using Binance anymore.
They have moved from Japan to Malta to get away from regulators as far as I remember. So I doubt that regulators can stretch their arms and force them to do KYC or at least requires users or account holders to do so. Unless Malta suddenly turns around, but I doubt that it will happen.
So for now Binance will not be stop even with this hack, they're too powerful now, if you hadn't notice.