The yellow 4473 form which you fill'd out, when you made your purchase, STAYS with the licensed FFL dealer. This form only goes to the BATF should that FFL dealer go out of business or should they have reason to come and check their records.
Others may correct me if I'm wrong, but should they come to look at a FFL dealers records, they are not allowed to copy ALL his records, only those which may affect their investigation.
So if you purchased your firearms at reputable, long term shops that are still in business, the only way your 4473 would end up in the BATFs records is as stated above "outta business" or firearms was used in commission of a crime or stolen.
For those who purchase multiple firearms at one time, there is a second form, "multiple gun purchase form" that is filled out and sent to the BATF, this is to prevent someone from buying 50 pistols, driving to DC and sellin them outta the trunk of their car. Makin it easy to track, should gun be used in crime, and they find out yahoo (trunk dealer) bought 50 of 'em.
Hope this helps,
Mike