As you said, you grant credibility to UFO abductions because of the stories. You are a walking example of taking something on faith.
So you're saying that nobody's ever been abducted by aliens? They aren't stories, real people have really been abducted. But nobody's actually seen your invisible Big Guy.
You accept their stories on faith. You were not there, you did not see, hear, touch, or smell the aliens or their craft, you were not present when the examinations were done, none of that. You are taking their word on their experiences by faith, to the point that you have now moved from a position of cautious possibility to absolute statements of fact. Face it, you are believing by faith.
Using that same standard, people have actually seen God work, have actually heard His voice, have actually had direct experience with Him, for thousands of years.