I’ll just add that there’s more to reality than simply a model that fits observations. String Theory and Holographic Theory (both of which treat our Space-Time as reflections of higher dimensions) may perfectly describe our physics with mathematical preciseness, but that doesn’t make it real. Existence. It’s just a math model. Brian Cox addresses this with several promising theories. They may describe something (and therefore predict it) well, but it isn’t necessarily observably real.

Otherwise I wrote something similar as you — it’s not a question of “believing” or “faith” in facts.