Could you move more than the FDIC insured amount from Goldman Sachs? Or Lloyds in the UK?
Luckily, with Bitcoin, it's trade what you can lose. Keep the rest by yourself. Yes, there were some losses, but it's a trading platform. Somewhat expected.
If you don't believe me research what happened with the Swiss Franc recently. It has closed a lot of FX trading platforms from sheer losses [1].
This isn't limited to bitcoin — that's a naive and ignorant point of view.
One day blockchain.info stopped working for me (I think they mistakenly banned lots of IPs). And yes, I simply withdrew my money out of it. I just loaded my private key in a mobile wallet and swept the coins.
Apparently Coinbase now offers a multi-signature feature, so people could do the same.