I don't think they will, as this will leave a significant amount of population without ids. The fallback will always be there.

Credit cards are a great example: they can't be faked, however while the cryptographers are sitting on their high hill and patting themselves on the back for doing great job, the credit card fraud rings billions of dollars every month. It doesn't happen because of fake cards -- it happens by exploiting the flaws in the whole process that a (non-fakeable) card is a part of.