Seems incompatible given that they have no physical properties
Interesting philosophical question. I hope this thread doesn't dissolve into the absurd.
Humans have reached a level of consciousness that allows us to think in abstract/conceptual terms.
There is certainly a difference between physical and conceptual. Physical things are things that can be objectively measured, they typically have the physical attributes of size, mass, location and age and are typically made of stuff. e.g. a particular rock has a size, a mass/weight, is at a particular location at a particular point in time and is made of something (a specific type of atom, or compound), as was formed x years ago.
There are some physical things that may not seem to have all of these attributes, e.g. nutrinos don't have mass. For an individual atom we cannot know how old it is.
In our human endeavours to understand the universe we have developed conceptual tools to help us understand things.
Numbers for example are very useful. They are not physical. You can not have 1 in a specific location. 1 does not have a size or mass and is not made of anything, 1 does not have an age.
We also developed the concept of shapes. A Circle does not reside in a specific location, it does not have a size or mass, is not made of anything and has no age.
In this way we could conclude that many of our conceptual things are omnipresent, eternal, timeless, all powerful (they cannot be destroyed), unchanging. This is just a way of saying that they don't exist as physical existent things. They are merely concepts, which is an imagined idea brought about by the consciousness of those that are capable of understanding the idea.
This doesn't mean that those concepts are merely arbitrary.
Numbers is a useful concept we would expect any intelligent conscious being to discover. How many fingers do I have, how many people are there, how many apples are there, are there enough apples to feed all the people?
Shapes are also a useful concept we would expect any intelligent conscious being to discover. A circle being a shape were all points are the same distance from a central place.
If we consider the realms of "morality". What is it that we are actually talking about here. What is morality? It is a concept of course, not a physical thing. "Morality" is actually a very poorly defined concept. The idea that some actions (or thoughts) are good, some are bad and some are neutral. What does that even mean? What does "good" mean? The idea of "good" is also a poorly defined concept. Typically it means favourable or desirable rather than unfavourable or something to be avoided. But also this gets complicated because something can be considered good from one point of view but bad from another point of view. E.g. person A snatches an ice cream from person B. This action is good from person A's perspective but bad from person B's perspective. But the idea of morality is not just "is this good for me" but is often used in the context of "is this good for society?". Many people would agree that it is bad to snatch possessions from others without their consent. But how do they collectively come to this conclusion? Perhaps by realising that most of these people aren't the biggest and toughest person in society. The big brute might think it is desirable and good that people can just snatch things, while the smaller and vulnerable people might want the society to consider this to be an undesirable and bad thing. So you are going to have most people consider it bad but one or two people consider it to be good.
We would expect any intelligent conscious being that has a social nature and lives in a society to discover the idea that some actions in society are considered good and some are considered bad. It would be natural for them to conclude that snatching possessions is bad for the society (if they understand the concept of ownership, and the value of property).