I would look at your "cheat eat" as a "joy eat", "cheating" has such a negative connotation and suggests some wrong-doing on your part. I like the break down given by a fabulous weight loss coach, Brooke Castillo, who recommends that 80% of your food intake should come from fuel foods (you know, the healthy stuff that actually fuels your body) and 10% come from joy foods (like, say, a HoHo . . .). When you eat the joy food, really enjoy it, but only eat until you are physically fulll and/or the pleasure of eating it has diminished. If you are eating beyond fullness, the question becomes less about WHAT you are eating and more abut WHY you are eating. I have personally used food as a reward I felt I deserved at the end of a long day and I derived pleasure from it - for about 5 minutes. I started thinking of other ways to reward myself with non-food items (i.e. sitting outside just listening to nature at the end of the day works for me).
This doesn't mean I pass up my joy foods, they can still have a place in your diet - as a previous poster said, a calorie is a calorie. For example, I am currently in the process of losing 5 lbs, I'm adhering to my reduced calorie guidelines I've set for myself, but I recently attended a birthday party and I wasn't going to pass up cake! So I had a tiny piece (3 bites?), enjoyed the hell out of it and moved on. I didn't pine for other party-goers cake and didn't feel deprived. So, with your whopper example, maybe you could eat enough of it (1/4? 1/2?) to satisfy your taste buds and then throw the rest away. I notice, too, that after the first several bites of eating something, the pleasure of eating it diminishes exponentially. If you feel compelled to eat past fullness or past pleasure, then this would fall under the category of emotional eating (something I am quite familiar with) and that is definitely worth investigating - I could go on and on about that ;-) But don't give up your joy foods and don't berate yourself for enjoying them - do it with the intent of enjoyment and stopping when the enjoyment is over. Putting something off-limits is guaranteed to make you want it more.
