I don't think the part about immortality and the solution to all human problems has anything to do with faith or science. It's about motivation. These are thing

I don't think the part about immortality and the solution to all human problems has anything to do with faith or science. It's about motivation. These are things humans want. The question then is how best to achieve a future in which those goals are fulfilled. Transhumanists think about how to reach those goals via technology - by the technical manipulation of the strictly material world. Sure, you can say that it takes some amount of faith to believe that these goals are achievable via technology before it has happened, but I think it's closer to having a vision (in the same sense that Apple had a vision for what tablet computing could be like). But that is very, very different from believing that one actually attains the goal by having faith.