Place turkey bacon in a large skillet and cook over medium-high heat, turning occasionally, until evenly browned, about 5 minutes. Drain, let cool, and crumble.

Fill a large pot with lightly salted water and bring to a rolling boil. Stir in angel hair pasta, bring back to a boil, and cook over medium heat until tender yet firm to the bite, 4 to 5 minutes.

Meanwhile, whisk Greek yogurt, Parmesan cheese, egg, Italian seasoning, red pepper flakes, garlic salt, and onion powder together in a bowl.

Drain pasta and return to the pot. Pour egg mixture over the pasta while still warm. Cook and stir over low heat for 1 to 2 minutes. Add bacon pieces and toss to coat.