Um, no. The reason that Atkins and related diets want you to cut out carbs is to trick your metabolism into thinking your body is starving and start consuming itself. (The high protein intake is to replenish the muscle that is eaten away by the starvation.) Unsurprisingly, this is not good for you. In addition, it seems to also cause your body to retain more fat when you stop starving, apparently in expectation that you will starve again.

Remember that there are only three types of items that provide calories: carbohydrates, proteins, and fats. Each also provides certain other nutrients beyond mere energy, but they largely don't factor into weight.

A person gains weight because he consumes more calories than he expends. Period. The only way to lose weight is to change that ratio.

That said, there are some psychological and physiological concerns related to what you eat.

Shorter-chain carbohydrates (sugars, mostly) tend to release their energy into the bloodstream quickly, as the body has to do very little to convert those carbohydrates into usable molecules. As such, if you're not consuming calories in an equally bursty fashion, you're going to have excess sugar in your bloodstream, and that will end up getting stored in the body as fat. In addition, candies are nearly pure sugar, which means that not only do you get that quick burst of blood sugar, but you also don't get any satiety through stomach fullness. Combine those two things, and you set yourself up to want more.

Also, one of the things that supposedly provides satiety is saturated fat. Back in the '70s and '80s, people decided that saturated fat was bad for you, to the point where it's almost non-existent in any sort of prepared food. As such, it can be hard to get enough saturated fat to convince your body that it doesn't need any more food, if you only eat packaged foods. Now that partially hydrogenated oils are being phased out due to their problematic characteristics, they are being replaced, frequently, with palm kernel oil, which is a saturated fat, which might actually help improve health, at least in comparison to the partially hydrogenated trans fats.

Anyway, my point is that pointing out any single food as bad for you, and avoiding that, pretty much is the definition of fad diet. Your body needs a mixture of carbs, proteins, and fats in your diet (as well as some vitamins that are not produced by the body) in proper ratios. The majority should be carbohydrates, preferably long-chain carbohydrates, so as to provide more of a time-release effect of the stored energy.

If you look at the evolutionary history of humans, this all makes sense. Plants were almost certainly the most common food available, which are mostly carbohydrates, with some proteins and fats, mostly from grains, and protein from meat being a relatively rare occurrence.