yea, just look at UPS Tank Freight and Fedex's Next Day Guaranteed Company Delivery Service (saturday delivery extra, of course).
of course civilians are involved, especially today when everyone is contracting out as much work as they possibly can (even when it costs more money). But you're delusional if you think all it'll take is 5k people to handle the logistics, which includes the maintenance, upkeep of a wide variety of ordinance, machines, vehicles, weapons, aircraft, and equipments required to sustain several divisions, not to mention the various support staffs that is required to support said garrison.
and that's ignoring the pointlessness of maintaining such a large pile of equipment pinata without people to actually train and use them with.