I don't know how to make sense of why "God doesn't intervene", but I'll leave it at that. I'm left a little dumbfounded. Even Jesus was dumbfounded on the day of his death. "My god, my god, why have you forsaken me?"
Immediately jumping to a full explanation of "God doesn't owe us anything" sets a dangerous precedent. I've rather be confused. I don't know if it's true or not, but if God doesn't owe us anything, then what's that say about what people owe to each other? A doctor who wants to cure a baby of.. say.. having a blocked wind passage.. is going to do his damnedest to rectify the situation. A good kid who sees some bullies picking on another kid is going to step in and defend him. Indeed, even science fights for the truth and discovery, and sometimes creates modern miracles. And sheds our collective ignorance. It's that spirit to fight and step in that signifies the best of humanity. Kant called "duty" the best expression of morality. I'm not a big fan of his writing style, but I agree. Jesus also expressed this as his last commandment.. "Love one another." He thought we owed each other something at least.
Why God isn't always intervening himself, I don't know. It's going to remain one of the biggest mysteries (and to some, one of the biggest follies of religious thought). I do know that whatever you do think, it's best to not let it shape your own thoughts. The real question in a way is why aren't "we"/"you"/"I" intervening? Not God. There are a lot of things that can be solved without the use of miracles ( I'm not great at it either.. I'm awful really. Something is pulling my strings though to not fall too much that way).