Israel sees itself as bound by the same international laws of war as every other UN state, including the Geneva Conventions. I understand that many people think it is in breach of those laws, but most of those people haven’t actually read the Geneva Conventions, and none of those people have at hand the same information that Israeli military command does when deciding what is a legitimate target and what is a legitimate action. Unfortunately most shouts of “war crimes” are driven by political animus and so very very quickly lose their impact.
I’m fairly sure Jewish precepts are taken into account in decision making both by formal input from Rabbis but also because Judaism is the “background” to most Israeli officers and soldiers lives, in the way Christianity is in the UK.
i don’t have any detailed knowlege of how Jewish law is applied to decision making in the IDF, however.
One should also be aware that Jewish thought is very diverse and many many different strands of Jewish law exist, sometimes with contradictory conclusions. I may not have been clear that what I wrote earlier I learned in an academic discussion many years ago from an “orthodox” source. I don’t think that means that if Hamas besieged a Jewish town and demanded the mayor be sent out for execution that is what would happen.