I feel like the universe is "ordered" because the natural forces appear to follow their own physical laws. My gut tells me that I'm "a part" of the massive, interconnected system of the universe, and an inevitable consequence of the deterministic laws governing nature. It feels like we were all "meant" to be here and do whatever it is that we decide to do.
I also feel like it's a bit silly to attribute an intelligence to the natural forces, although I can understand personifying them. It's hard not to, because we're social creatures and that's how we evolved to relate to the world. I think personification can make beautifully moving poetry, inspire deeply creative and groundbreaking hypotheses, and even give someone the spiritual sense of a personal relationship with the universe itself.
I often feel connected to the universe, even in a personal way. I used to call that God, but that word feels too small and anthropocentric to me now. I'm more likely to call it nature or fate now, although the "God" word will slip in from time to time even though it's not theism and more like sexed-up atheism.