The left is not waging a war on science, the right is. It is pretty easy to make that case vis a vis creationism on the part of the evangelicals driving the GOP bus.
Paying teachers more, and having more of them does affect performance.
Simple supply and demand dictates that the supply of quality teachers will go up as pay is increased. It doesn't get any more basic free market than that. Economics 101.
I would, though be interested to see on what basis you could claim "the left hates science"? link?