One of the epithets of the Buddha is 'teacher of the devas'. There are various accounts of Buddha teaching devas or gods, even Brahman the supreme being/ultimate reality. https://www.accesstoinsight.org/lib/authors/jootla/wheel414.html This is a very different dynamic to Western thought, it is not arguing ontic priority, but saying there are insights in this practice for all beings.
The bigger picture is, religion and philosophy are terms rooted in Greek thought. Why should we expect a really ancient practice that arose out of an even more ancient culture, to fit neatly into these categories?
Consider https://en.m.wikipedia.org/wiki/Parable_of_the_Poisoned_Arrow The concern of Buddhism is not with cosmology, or hierarchies of being, or who's book is best, or even who's account of how we got here is best. It is about suffering, the causes of suffering, that it is possible to live in a way that doesn't cause suffering, and how to do that. They are the Four Noble Truths. At core that is all Buddhism is. The poison arrow is in all beings, it is part of the nature of being an arising phenomenon. It's cessation, however that is achieved, for all beings, is Buddhism.
Buddhism is compatible, in principle, with all religions and cosmologies. But it is not concerned with things outside the area that it addresses, just like eg. science with areas outside it's conxern. That lack of concern can be interpreted as dismissal, but it shouldn't be. Just like scientific method has no concern with phenomena outside of external observations - yet other areas of consideration exist, so Buddhism is not concerned with phenomena outside of internal observations especially those honed by meditation - but such areas do exist. They are just not important to it's context.
Buddhism is about identifying what it is to be awake. What obscures our view of pur being in the world? How do we numb, or distance, or or go to sleep to our experiences? How can we turn that around, be aware, engaged, and awake? In this very moment we decide.
Edited to add: Please note the nature of faith as viewed in Buddhism https://www.accesstoinsight.org/lib/authors/thanissaro/faithinawakening.html It is not unconditional, or unjustified, it does not require a leap from a standing start. But it does require going into the practice with faith in it, that this has seen others 'across the stream'. You might compare this to how science depends on us having faith in other scientists, and the community. But it must also go beyond the material, the practical, the explained, into something deeply and intrinsically personal. That is certainly not in the realm of science.