Regardless of how “practical” the system Stirling created is, he did indeed paint a very bleak picture of life in the Domination, with Under The Yoke (post- WW II-analog consolidation of conquered Europe) probably being the best example, and the Draka conquest of India in The Stone Dogs (and assimiliation, as told through the eyes of an Alliance agent captured “behind-the-lines”) being a close runner up.
A fact clearly acknowledged by the characters in Stirlings works; if the Domination were ever to become content just with what it has, then it would probably begin stagnating technologically very quickly; but their hatred of the “damyanks” and an almost pathological need (inculcated into their society over generations by Nietzschan philosophy) to, well, dominate everything they can (land, space, planets, people, etc) drives the Domination to innovate and research; it’s how they developed superior biotechnology, in order to conquer and pacify Africa.
If you do, make sure you read the appendices in the back of the books. Stirling’s Domination may not be the most plausible alt world ever created, but the man did put some thought into it.
That’s why I think a mini-series may actually be the better way to go with something like this.