Egg whites sans yolk became the virtuous thing to eat in recent years because of the misguided cholesterol scare (I recently wrote about the fat myth). I find egg whites by themselves bland and love my yolks. Rather, I live for the yolk and eat the white just because it happens to come with it, although egg whites do have their place in chocolate mousse and meringues. The deep yellow oozy yolk, warm and runny, is just soooo delicious (see a post on my soft spot for soft boiled eggs). Egg yolks were vilified by a culture that was quick to believe one-sided and misinterpreted scientific tests, and valued scientifically engineered food products over what nature made. The food industry saw a quick profit in our fear of cholesterol (take a look at information from the Weston Price Foundation on the misguided cholesterol myth). Hence those egg white omelets, and egg products like desiccated egg white powder, substitute egg mix, and liquid egg whites in a carton.
Not only are eggs one of the healthiest foods on earth, they are also a brain food, provide one of the highest levels of protein, and are an excellent source of vitamin D (eat more of them in the wintertime when you don't get out into the sun as much) and minerals. The much bigger problem is the low quality of eggs coming from industrialized mass egg productions and the egg products made from them. Do eat eggs, but buy them from a local farmer who lets the chickens roam and eat grubs (see a blog post on that as well). If you want to save food $ consider cutting back drastically on your meat consumption and getting more of your protein from the best quality eggs you can find.
In the end, we are better off looking at the causes of cardio-vascular and heart disease from an emotional perspective, which merits a blog post in itself, rather than making cholesterol the culprit. So - have your eggs and eat them too!