The idea is good, but have little lack of work, we need to think about how the planets will look like or how the two suns will influence these planets, which new biomes or other things can appears on that planets because of his singularity and other things... Hope i helped...
cool idea but it needs more information and some ideas... maybe it wouldn't be frozen and hot but the two suns would have different types allowing for mixed systems (for example a doublestar system with a gentle star and firy star would have a mix of lush planets (harmless and mostly harmless planets) and molten planets (extreme and dangerous planets)