For an early breakfast on the Strip that is nice, and located in the good part of town where you wont be bothered by drunk tools drinking their huge gold bottles of red bull and vodka, you cant do better than this very nice french style bistro located in Paris.
The prices for all brunch items are under 14 bucks, which is a real good deal for this caliber restaurant right on the Strip. Wont go into the food, because hundreds have already spilled the beans on them. I will just say that you have to request the outside patio section, and do the people watching. You are on an elevated platform, so the people shuffling by can't always hear you making fun of them. And even if they do, there is a partition separating you from the sidewalk so unless they are parkour champions, you will be safe to stare and laugh away.