You're committing the classic equivocation fallacy of religious apologetics here. It occurs whenever one uses two homonyms interchangeably as if they were the same word. Faith means many things besides those two - religious faith and faith based in experience. Other meanings include a religion (the Jewish faith), an attitude or manner of behaving (in good faith), and a girl's name (Faith Hill).
Religious faith is insufficiently supported or evidenced belief. Justified belief is radically different - the difference between creationism and evolution science, astrology and astronomy, and alchemy and chemistry. To say that faith in astronomers is much like faith in astrologers is incorrect. Period.
Why does anyone need to repeat the experiments or learn the mathematics necessary to really understand that science behind say a moon landing is correct? Did the Apollo missions make it to the moon and back? If yes, then the math and science underlying the engineering is correct. Period. You need no more evidence than that to believe that the NASA team's understanding of rocketry, navigation, communications, etc. is correct if it worked as predicted. No faith is needed to trust the science. It's stunning success it the evidence that its basic assumptions and methods are a valid (and the only valid) means of discovering what is true about the world.
Incidentally, I've taken to calling any activity that tests and confirms hypotheses by collecting empirical data science, including looking both ways before crossing the street. This is informal science, to contrast it with laboratory or observatory formal science. Which restaurant will give me the better experience? We try both a couple of times and conclude that the Chinese restaurant is preferable to the Italian one. We had a hypothesis, tested it by going to them and eating there (collected evidence about ambiance, service, parking, proximity, price, selection, etc..), assembled to results in memory, and came to a conclusion about which we preferred that ought to be reproducible until one of the restaurants changes for the better or worse. It's really the same process done for the same purpose.