Determinism and morality

Hello,
I am currently reading your excellent book “The Science of Freedom,” and enjoying it very much.
A question arose in my mind regarding the presentation of the contradiction between morality and the deterministic-materialist view. You write there (p. 316) that morality cannot be understood in light of the materialist view alone, because an additional element must be added, a norm or value, according to which it is not “nice” to hit Reuven.
But in my humble opinion, it is possible to give another reason to the dilemma of whether to hit Reuven, which is not in the normative-valued realm but rather in the utilitarian realm: Why don’t I want to hit Reuven? Because I don’t want him to hit me. If I hit him, the chance of that happening will increase, whether from him, from his family, or from other people who see the event.
Or, in other words – “What is hateful to you, do not do to your neighbor,” but not for normative-value reasons but for utilitarian reasons. In practice, it is impossible to maintain a society in which people constantly beat each other.

I would love to hear your opinion on the subject, and whether this view does allow for a type of morality even according to the materialist view.
thanks,
From Lavie