Yeah, I'm pretty sceptical also. You can't just apply Moore's Law to technology indiscriminately, but most transhumanists, life-extension guys and the like have got some sort of computer science background and thus these kind of unrealistic expectations. If you look at other technological fields you can see many that have remained the same or only had minor advancements in decades, or centuries.
Not to mention previous generations have repeatedly had overly optimistic expectations of the future and technology that have failed to come to fruition. I don't see many flying cars, clean cheap nuclear energy, space colonies, household androids, hydroponic farms, arcologies etc. Those kind of predictions were made in the mid 20th century based on the massive advancements in engineering and industrial technology from WWII and the Cold War, which have slowed down since. Similarly the huge improvements in microcomputers from the 70's onwards triggers ideas about a singularity, AI comparable to a human brains, merging humans with technology, and so on. I think it's too far-fetched, frankly.