The first problem is that now you have to dedicate a whole lot of work to maintenance. Even if this was done in good faith, you'd have millions spent just reading and rubber stamping laws. Legislatures get little done as it is to add more work.
Then, we have the problem of getting the legislature to take this seriously. What stops gigantic omnibus renewals that, for all intents and purposes, lead to the same thing that we have now?
There's also the risks to partisan fighting over controversial laws. Imagine what happens to an impasse over immigration law, or gun control. The winner, politically, would always be the side that would be more capable of tolerating no law at all. This is far more politically charged than just keeping whatever was the consensus in the past.
So that proposal is only a good idea if you believe that having a harder to govern country is something you want. Rarely a popular opinion among people that make laws.
Politicians aren't scientists, and don't operate from root causes and facts; they operate from manipulating social factions and perceptions. If they don't see something as important to their key social factions, it's not worth their attention. Honour this Albert de Salvo guy? Sure, why not? Do it and let's move on to the stuff I want to deal with.
The main problem is creating a process where outdated laws can be removed efficiently - which obviously needs to be done in congress. I think there could be a monetary reward involved - not for the congressmen obviously, but for non-members of the congress who initiate a process that leads to a successful removal.
In other words, every law has an intent. Make it so before any law can be passed, you must design a test to validate the law against the intent to be run at some point in the future. Then if the test fails outright, or begins to fail over time (some laws work at first, but fail later) then you pull the law out of the books.
I know this is very naive, and over-simplified. But I like the idea.
It does allow for fresh debate on things but can also cause a lot of friction and uncertainty.