You might appreciate this comedian who reminds me a great deal of one of my best friends in my bicycle racing days. He also has a really funny video on what it would be like if meat eaters treated vegetarians the way that they treated meat eaters.
Atkins is more protein than Keto. Although the “induction” phase in Atkins is pretty much Keto.
Keto is more about “good quality” fats and high-nutrient/low-carb vegetables. And some “fruits” like Avocados, olives or berries.
It is crucial to make sure you get enough Omega-3 fats, from fish or Chia seeds, I even take Omega 3 supplements.