We clock in at a little less than the "thrifty" cost. We do eat a lot of fruits and vegetables, but get them mostly at the "final sale" shelf of a local high-end produce market. The shelf has things that are cosmetically imperfect or that are maybe closer to going bad than items being sold full price, but still perfectly edible. We regularly get things like heads of organic cauliflower for 50 cents, a bag of 6 avocados for $2, a 5+ lb bag of apples for $1.50, etc. The trick is that we're willing to work with whatever is available on the day we go shopping. Some weeks that means we eat mostly bell peppers and eggplants, other weeks we might get a wide variety of vegetables. We have a few other vegetables that are reliably cheap (cabbage, onions, carrots) that we use to round things out and fall back on when the final sale shelf has unappealing offerings. That plus the usual of buying dried beans and rice in bulk, cooking from scratch, etc. definitely keeps the grocery bill down while also keeping the crap factor low.
I can definitely see how you get to the "liberal" end of the plan though. At the place where we get our produce, I'll see people go through the line with a half filled grocery basket and ring up at close to $100. Doing stupid stuff like buying strawberries in the middle of December will kill you!