Functionally you can't do duties regulated by ITAR without authorization from the U.S. Department of State... so effectively you can't fill that position. While looking for jobs I've applied to some US companies who are involved in defense contracting before for a non-defense position and they basically label me (a Canadian) as a foreign person at the first screening and they don't call me back.

For practical purposes, ITAR regulations dictate that information and material pertaining to defense and military-related technologies (items listed on the U.S. Munitions List) may only be shared with US persons unless authorization from the Department of State is received to export the material or information to a foreign person. US persons (including organizations; see legal personality) can face heavy fines if they have, without authorization or the use of an exemption, provided foreign persons with access to ITAR-protected defense articles, services or technical data.