I agree with the need the distinguish between the scientific method and "Science", and I would argue that scientific literacy is just as much about understanding the scientific method and applying it broadly as it as about knowing a collection of scientific facts.
That being said, what alternative to psychology do you propose? I will not argue that psychology has ruined lives. I am sure other fields (including the harder sciences) have similar dark spots on their records. Starting from the premise that given a lack of evidence all possibilities must be considered equally probable, new sciences use observations to make hypotheses. These hypotheses represent the best use of available evidence. They may be wrong, but they tip the scales towards certain possibilities, i.e., they increase our confidence that a given outcome is true.
People often discount the results of studies due to flaws in the study design or execution. These flaws are valid critiques, and they certainly need to be addressed in future work. However, if you do not present evidence showing that these flaws significantly impact the results, our original premise above says it is equally likely that the flaws do not impact the results. Therefore, what justification is there for ignoring the results? No study is perfect (I have yet to read a paper in chemistry or physics which is above reproach, including all the ones I've written), but I feel that disciplines closer to everyday life experience much more frequently this situation.
This may be the difference between science and religions. Science says that if everyone follows the scientific method, humanity will eventually arrive at the truth. It does not say that the current scientific understanding of the world is the truth, or that any individual living today will ever know truth. This distinction is vital, and perhaps not emphasised enough, likely due to the type of people mentioned in the previous paragraph who use criticism as a way to ignore results that they don't like, as opposed to accepting results they don't like as being the current "best guess" while using valid criticism to dig deeper in the future.