The point is that we should take the massive amount of funding that police receive in the US ($5.1 billion of which has gone towards military vehicles and equipment through the DOD 1033 program) and reallocate it to strategies which extend to people other options beyond a cycle of crime and punishment.
See, e.g. here I'd agree with you totally: almost the entirety of that money spent on the militarization of police is worthless, or, worse, actively harmful. You don't need to make bullshit arguments to support it. Indeed, you weaken people's perceptions of the strength of the case when you give them bullshit arguments.
And the average clearance rate for murder is around 60.
Given that police prioritize some crimes over others, one should be careful in using the stats for things they don't place a priority on as a basis to pass judgement. If the violent crime rate could be lowered for example, say by removing the ability of a violent gang to operate (i.e., arrest and convict them), this frees up time to go after other crimes. We are looking at the current equilibrium achieved as a result of all their efforts, not some law of nature that happens either way (i.e. fixed clearance rates).
Second, as I understand burglary, it is a property crime, like breaking & entering into a home, business, or car. Robbery is person-to-person theft (stick-up by knife, gun, etc.) If we think about burglary for a moment, most burglaries happen when no one is around. Thus, imagine how difficult it is to have enough evidence to even lay a charge against someone. Vanishingly small. I'm not sure that is a good way to judge the effectiveness of police. I lived in an apartment building many years ago where someone got to the roof, then entered an open window and stole some things. The chances of catching this person are incredibly low. The police came to our building to ask questions and look at the inside of various apartments. The effort was made, but it would be nearly impossible to lay charges with so little tangible evidence.
Third, think about robbery. When I think about robbery, I think about "wrong place, wrong time" -- on a street alone at night. What are the chances the police will be able to gather enough evidence to lay a charge? Again, vanishingly small.
Lastly, about this clearance rate for these two crime categories: How does it compare to other high income countries like Canada, UK, France, Netherlands, Germany, Korea, Taiwan, Japan, etc.? I'm sure it is also fairly low.