One clear parallel or connection between the novel and the character David is the relationship that Natty Bumppo shares with Chingachgook and his son Uncas and the relationship that David originally shares with King Saul and his son Jonathan. Chingachgook cares for Natty as he does his own son, and Natty and Uncas are loyal friends. Similarly, King Saul initially accepted David into his home and was pleased with the close friendship between David and Jonathan.
Additionally, the chief (Chingachgook) loses his son just as King Saul loses his son Jonathan. Both young men die in battle, leaving behind their grieving fathers and best friends (Natty and David).
A key difference, of course, is in how the two leaders Chingachgook and Saul, handle their grief. In the novel, the truly last Mohican continues his good relationship with his "adopted" son, while in the Bible King Saul hunts David in an attempt to kill him.