Laws can’t be properties. Either they arise from those properties which entities exhibit when interacting with each other, or they determine the nature of those interactions.
Physical laws are the description of how things work. That is all they are. And how things work is based on the properties of things.
If, as you said above, the laws of physics are the basis of causality and cannot themselves be caused, then the laws of physics are more fundamental than the physical entities whose behaviour they describe and predict. Which certainly brings us back to territory explored by Plato (and Kepler and Penrose).
No, the laws of physics are the descriptions of how things behave. Ultimately, the laws would be the description of the properties of all fundamental objects, which would include how they interact. And those properties and ways of interaction are the basis of causality (to the extent it exists).
In a sense, the properties are the fundamental aspect: the various types of object are defined by what properties they have. So, an electron is defined as having a certain mass, a certain charge, a certain spin, etc. Those properties determine the strength of various possible interactions (gravity, electromagnetism, the weak force, etc).
So, the fact that there are 4 known fundamental forces and several proposed fundamental 'particles' is enough to describe what happens in the universe. Those properties lead to certain statistical laws that, on the macroscopic scale, lead to 'causality' and a certain amount of determinism (although it is not absolute).
But, the order that comes out of this all does NOT depend on an intelligence. In fact, intelligence would be an incredibly more complex system that would be based on those fundamental properties.