According to the one religion I'm somewhat familiar with
Then you're not very familiar with Christianity, or religion, really.
Christianity has survived worse than aliens. Heliocentric theory, evolution, and earth as a globe are all facts that Christianity has had to deal with over the last 100 years. The different sects are at varying points in how they've evolved with these facts, but they have and are evolving.
You think of religion as a series of facts, which it partially is... but that's not the main thing. The main thing is group identity, and group identity can and does change with time. You can't really "disprove" group identity.