Is there evidence to suggest that Human Genetic Engineering would not work in eliminating genetic diseases?
No. Human genetic engineering has already eliminated many genetic diseases. This happened before people even understood genetics. It works through the process of sexual selection, a type of natural selection. People with visually obvious genetic defects have a lower probability of mating. This then reduces the relative abundance of the genes that cause these problems as long as the problems are visible. Modern genetic screening techniques can help a great deal to eliminate bad genes. It has the capacity to determine if parents are carriers of bad genes and if a fetus has received a set of bad genes. This works only with identified genetic defects. Whether or not direct manipulation of genes will be of great help is still an open question.