When you say that Zod doesn't want New Krypton to have a yellow Sun, you are saying that he is so enamoured of Old Krypton that he lacks the originality to imagine a better world, which is fine. You argue that Zod is an ideologue, and a conservative in the traditional sense, i.e. one who wants to maintain things as they are. Part of the reason he is this way, perhaps the only reason, is that he is genetically engineered and bred to be the defender of the existing power structure, of a precisely defined "Krypton".
However, what Zod does in his rebellion makes him a ... rebel and a reformer, and not a conservative. He is not idealising the old power structures, he is visualising a better Krypton, specifically one with the problematic bloodlines removed. He is a revolutionary, not a conservative.