Okay this may turn political(hopefully not) however I work credit card proccessing(not for paypal) tech support. I'm not sure why they would need to link it to your bank account? perhaps they are using a linked bank account as an intermediary for verification purposes. However any type of online money account must positively verify the identity of the user once it has reached a certain amount of funding. For a time I was supporting a prepaid card for the google wallet application, and once you reached something like four hundred bucks on it or something we required the SSN,Address,Phone...you know all the stuff you would put in for opening a bank account online. The official reason for this (or at least as far as peons like me were told to tell the customers) was some line about the patriot act requiring identification of holders of rechargeable prepaid cards whose funding had exceeded some amount or other, in order to prevent money laundering and channeling of money to terrorist organizations. or some such official sounding BS. Because you can hit me on paypal for 900 dollars, as long as your card is valid it's fine, what is seen as $900 dollars to me is not (real name: card number 4111......), its (user ID:0091274-0
13 so they can track you down, one method of verifying that they have real info on a real person is SSN, Address, blahblah. The other method is to verify that you have an account that already required all this info,like say a bank account.
All that being said contact them find out what their reasoning is and what if any benefit it really gives you, then politely tell them to ride of into the sunset on your middle finger or break down and give them the info.