At the same time that topics like this completely fascinate me, sometimes I wish wish I could be a little less curious. To answer the question, I personally think that nature itself is a very complicated system and while the human race has made some groundbreaking intellectual achievements to understand it, there are things that we will just never be able to explain. While science might make sense to us, it's a human-race interpretation of nature. For example, as I read Chino's comment on "Through the wormhole", it reminded me of the long debate between whether or not we have souls or we are just entirely controlled by the moles and chemical reactions in our brains. At one point, it really challenged my faith because to us, humans, science seems to be the ultimate truth. Turns out that it could be, but science is also a "kid" taking in consideration it's fairly recent. The other day, I was reading a theology/science article talking about the topic and how souls could be a packet of photon particles that are linked through our body via the electromagnetic waves sent by the neurons (sorry if I am saying total nonsense in here, I am no scientist!), it's still a recent theory, but it does connect science and religion and offers a different interpretation of what we could be all about. In short note, I don't think one HAS to believe in God in order to believe in other phenomena, but I do believe they are somehow connected, and I don't think it's just all created by the brain.
P.S - I think this is my first post ever in this section, I like reading it, but I am not great at debating. I did feel quite interested/disturbed by this topic though.