what? i can understand that a bank asks some questions if you handle big sums of money or have unusually big transactions that you usually do not have, but this sounds bad. do you have to answer them? i would consider to look for another bank.
Yes. If you do not answer and show proof to everything they are asking for, they will put your money on hold for as long as their investigation is running. Funny thing is that I just came from a different bank. I signed up at the bank I am talking about because my previous bank told me to immediately stop using that bank account in combination with Bitcoin. But in general there is not much difference between banks as they are subject to the same laws.
Banks show differences, but those differences depend on the country's regulations, there are banks of the very strict with the know your customer policy, while in some countries deregulation is a lot more lax, anyways moving to those countries or creating a bank account creates another set of problems since you will probably need to create a corporation in that country and hire lawyers and stuff like that.