Lol, they're not even hiding it anymore. "We recommend Everyone be able to see information that will make it easier for friends to find, identify and learn about you."
When you change your Facebook password, it doesn't take 14 days for the change to go into effect. Even if Facebook does need some time to really delete all of your information from all shards, datacenters, whatever - the least they can do is immediately restrict access to your account. After all, that is exactly what you are asking for.
A little off topic, but I am very sorry I entered my birthday when signing up for FB a few years ago. It does not show on my profile but the possibility of FB passing it on with other data for marketing to 3rd parties might happen (or happens right now?)
Last night a friend mentioned that she was able to remove her birth date last year but when I tried this morning there was no option on the web app. I emailed support@facebook.com, admin@facebook.com, etc. this morning asking for it to be removed and pointed out that this might be a huge legal exposure to them.
I'll add a comment to this comment if I ever hear back from them.