I think this idea is premised on the notion that there may be an inverse relationship between education and crime.
Better K-6 education could probably decrease crime, if we can turn the illiterate, shiftless dullards who make up the lower rungs of society into literate and hardworking (if still dull) citizens. But this requires more a new educational strategy rather than just more money, and I don't know if anyone has thought of a good one yet.