Since you have to be a member of the tracking program to take advantage of any specials, I signed up, but I used the stores address, phone and contact information. The cashier asked for a driver's license which I had misplaced. She wasn't an idiot. She just didn't sufficiently care.
It bothered me that I had to lie to protect my privacy and be able to get any of their advertised specials at the advertised prices, so I found an alternative grocery store in my area. It's a greenbacks only, bag it yourself in your own bags store.
They carry good produce, meats, and the usual grocery items -- except that there's very few well known brands, but I got used to the "sort of Coke" and "almost Cheerios". Which was easy to get used to when I saw my total grocery spend was cut in half.
Unfortunately, I value my money over my privacy in most cases. Fortunately, this was one of those cases where valuing my privacy turned out to be a win all around.
EDIT:: Punctuation.