Not true in the least. In Asia the pattern is clear: tough on crime has lower crime (Japan, Singapore, Korea), but of course there's so many confounding things there.
Central and South America and Africa are notorious for having weak policing and high crime.
Meanwhile those famous Nordic and European countries that some like to think prove the softer on crime hypothesis happen to be completely homogenous, low population and high wealth areas. And of those same places that do have bigger cities with less wealth and homogeneity, there's big problems with crime.
Even within the US tougher on crime correlates with less crime once you control for a few things.