There is no evidence for or against a non-intervening God. The only evidence for theistic God(s) is hearsay, but there is massive amounts of evidence against them. For example, look at the Bible. The only parts of it that have been verified are the history, but none of the supernatural. You can say, "well it still happened", but you can only make that claim without science. If there is a supernatural realm or God, it's not detectable in this natural universe, a universe that was set up that way, ostensibly, by God--for what could well be a good reason.
Science is concerned with objective Truth. Subjective Truth also exists, but as art and beauty. Spirituality, the existence of an immortal soul, or divine consciousness/will, is undetectable and unverifiable--at least in any way that can be communicated. You can say God talks to you, but until God shows Itself and confirms that for me, there's no basis for believing you're telling the Truth, or aren't hallucinating or misinterpreting things or just out of touch with reality. Sorry to be blunt, but, s'why they call me the Paineful Truth.