The US has a lot of laws. People break them all the time. This doesn't frequently result in jail time.
Incarceration is determined by a combination of sentencing guidelines, public policy, access to adequate defence, policing, etc.
These factors actively shape our prison population. The War on Drugs, Three Strikes, etc have resulted in the US having the largest prison population (both in total and per capita) in the entire world. This is pretty objectively broken.
On top of this, we have a system that is stacked against certain groups and turn a blind eye to the fact that it perpetuates the cycle with broken homes and damaged communities.
When you look at the fact that we have more people locked up than any other nation and a growing prison population I'm not sure how a thoughtful answer can be more laws and Stricter enforcement.
i think we're more concerned with how it's more profitable to be fatherless on welfare and the high rate of out of wedlock births also encouraged by the current welfare rules. Their is a fairly large chunk of Republicans that are "rule of law" instead, and that makes quite a bit of difference. The problems with the justice system are the end not the root of the problem. Sadly, one justice problem which kills families is more prominent in Democratic lead cities: civil asset forfeiture. Philadelphia being the prime example.
If the right were indeed looking more broadly I would expect them to be advocates for justice system reform instead of "law and order."