I always thought the 'but models are wrong' is quite a weak excuse. Newtonian physics is a wrong model of how the universe works. Using it though; we put a man on the moon. Einsteinian physics are incomplete, but it allows us to use satellites moving at roughly 10KM/s to pinpoint our location to within a few metres.
A model's usefulness is not about how accurately it describes what is happening, but about whether it describes what happens at a certain meso-scale accurately.
[0]: http://www.labtimes.org/labtimes/issues/lt2011/lt07/lt_2011_...