I wouldn't limit the goal of science to developing predictive models, to completely understand a behaviour we must also be able to describe, explain and control the behaviour.
Which brings me to an interesting question. If a hypothetical alien civilization develops technology using different types of math than us, different analogies than us (particles/wave, etc.), and different beliefs than us, is it still science? I would argue yes. If they can create sophisticated technology that is predictable, the end effect is the same that we humans have.
Which brings me to my last question. Is string theory science? Again, I would say yes. Because although its predictions are not currently capable of being tested, they are in principle capable of being tested with more sophisticated technology. There is a clear path to developing a test of its predictions.
So I think "science" can best be described as the pursuit of prediction.