Could the teachings of King David as a prophet in Islam help Israel legitimize itself in the eyes of Muslims?

King David, one of the first kings of ancient Israel 3,000 years ago, is written in great detail in both the Bible and Quran. Besides being a mighty king of ancient Israel, the Quran takes the respect of King David up a notch and identifies him as one of the prophets (which also includes Mohammad, Jesus, and Abraham, according to Muslim faith). Recognition of King David alone is recognition of Israel, because that was the nation he was king of. A rationale should be made, therefore, that Muslims should recognize and respect Israel, out of respect for the land of their great prophet King David. Going a step further, one could say that the Jews are Prophet King David's people, and to show disrespect and not recognize the land of Israel as the Kingdom of David is utter disrespect for the prophet King David.