This, though, is very wrong: "Inbreeding can not cause weaknesses. It can only amplify existing weakness."
That's a risky misunderstanding of genetics. A wide spectrum of genetic...let's call them elements*...are needed to create healthy babies. Some must come from one parent, and a contrasting set from the other, to create the required diversity. Mating two healthy but related parents with very similar sets of genetic elements will lead to genetic repetitions and omissions in their babies, producing unpredictable faults that did not exist in the parents.
I may not have explained that very well. Bottomline, if your son+daughter/son+wife/daughter+husband had babies

*e.g. Major histocompatibility complex: https://en.wikipedia.org/wiki/Major_his ... _selection