Final answer:
The leadership principle that requires alignment of personal standards with institutional values in the military, specifically for Marines, is integrity. This principle ensures leaders set an appropriate example and maintain consistency between their actions and the standards set for their team.
Step-by-step explanation:
The leadership principle that requires personal standards to be aligned with institutional values to avoid setting a double standard for Marines is the principle of integrity. This principle is essential in the military context, where soldiers undergo basic training to adopt new rules and values synonymous with the institutional ethos. Integrity demands that leaders set an example by upholding the values and standards of the institution, ensuring their actions do not contradict the expectations they set for others. Adherence to this principle is what bonds soldiers together and enables them to operate effectively and cohesively under structured schedules and during complex operations.