I pretty much ignore the 13 bloodline theories. It seems to combine biblical references with names of the people who are wealthy or notable. All of this theory comes from Fritz Springmeier.
Maybe there is, maybe there isn't, but the theory doesn't hold up to questions like: What about modern wealthy families, including the Saudis, Gates, Zuckerbergs, Obamas, etc etc? Why do a lot of these family names cut off around the 1700s? If they were true royals, shouldn't they have pedigrees spanning thousands of years? What about the other families in the Bavarian Illuminati?
The biggest problem I have with this theory is that it implies we're under the iron-tight control of a handful of very high-level people, very wealthy people. There's a sense of anger, a sense of fear - fear that there's nothing we can do. But bigger than that is the sense that, for all of the chaos in the world and in our personal lives, at least we can point to XYZ and blame them. There's comfort in believing that we're all under some form of control and that at least someone's at the steering wheel.
But the truth is, even if there are Illuminati bloodlines, we're all just pieces in a game fighting each other for control, and nobody is driving the car.