You must agree to their terms of service which states you waive the right to sue them in order to access your funds and withdraw. It also states that you also agree to waive your rights if you try to use their ticket support system as well which as far as I know is the only other way to remove funds.
So to all you lawyers out there is this Extortion or not?
I was discussing the same last week, precisely because I find it to be a new way of extortion. If they change their policies, then you should be able to say "I don't agree" and remove all your funds. If not, it definitely seems an extortion to me.
They are asking even for a personal photo of your face. This is against many policies, but, still, they require this new information, along with all the commonly asked one.
So if you do not agree with that, then they will kidnap your fund 'till you give them the information required. This is extortion, kidnapping and it must be illegal.
Besides, giving such kind of private data can be dangerous, for they haven't even spoken about their last hacking attempt:
https://themerkle.com/poloniex-users-suffering-from-frozen-accounts-suspended-withdrawals-and-disabled-markets/Have the data been stolen?
Do the hackers have all the personal information of their users now, including how they look?
I've asked some lawyers friends and they all answered me the same: if you agree with a site's policies and then they change, you should be allowed to stop any relation (commercial, etc) with them, as well as they are obligated to erase all the data they have from you by sending a copy first. Of course, the law system depends on the country they are, but it should work this way, since Poloniex is now under the US regulations.