You must mean something like scientifically driven baseball which relies heavily on statistics. Just about all the major teams use it now.
However, it's already been done in a perverse form, Clinton used polls to see what he believed that week, Hillary is no better. The Republicans were so horrified that they've decided to become ideologues incapable of changing any belief contradicted by facts or science.
At its base, politicians don't have it in them to understand science or how it works. Science doesn't provide directions, it provides limits, something anathema to politicians. Providing a direction requires a sixth sense, not ideological fervor or its close cousin, ideological fever.
Ideology also provides limits, but they are brittle limits and temporally centered, the might work for a time (as in zeitgeist) but then the turn rancid and rot creating a stench around those holding on to them for too long. Scientific limits have a much longer shelf life and will get jettisoned if found faulty. Ideology admits no self-correcting mechanisms. This makes them tailor made for politicians because to change one's beliefs required hard intellectual thought. If they were capable of that, they'd have become scientists.