Yup, even Xandathrii are immune if they are that bothered by it. All they need is Dictatorship + 30% of their cons as sec centres, plus another 7/8% on population. I went down this route because playing as Xan, I didn't want to be a cov op farm (even though I would lose a mining bonus, because they annoy me that much :/)
If people still haven't learned the lesson of last round with Asc/desc cov oppers, then its your fault for leaving yourself open to cov ops