So I should be ok to leave the white one with the rest. I'm working on dividing them up. I was told about someone a few hrs away that I may be able to get some to mix with what I have to change the gene a little.
Your white birds, what are commonly called A&Ms or Texas A&Ms are just a white color phase of coturnix quail. They are not a separate "breed" or "species", simply a color variation of coturnix. The other coturnix are the wild type coloring, commonly called Pharaoh or just Brown as in Jumbo Browns. I couldn't tell from the photo but your Tennessee Reds may also be a color variety of coturnix commonly called Tibetan. If indeed they are true Tennessee Reds then they are a color of Bob White quail and should be separated from the coturnix before spring breeding season as they can get aggressive and harass, maim and even kill the other quail. Bob Whites are usually bred in pairs while coturnix are better housed 4-6 hens per rooster. Can you get a more clear photo of the "Tennessee Reds"?