Cathal (Irish, 'battle-ruler'), Alexander ('defender of the people'), Louis ('renowned warrior'), and Malcolm (historically borne by warrior kings) all belong here. The cluster runs from the explicitly martial to the quietly protective.
Warrior versus strength
A strength name points inward, to a quality the child will carry. A warrior name points outward, to what that strength is for. Parents drawn to one are often drawn to the other, but the textures are worth separating.