Air distance is about 8000 kilometers by air or 5000 nautical miles by sea.
Direct flight by Hercules (on an empty cargo bay) would take 15 hours, a chartered jet aircraft would take 10 hours. Given the necessity of a refueling stop, crew rest requirements, etc., we are only looking at a sortie rate of one every 36-48 hours. Given the number of evacuees (unless we can mobilize a lot of air assets and the availability of a prepared airfield), the majority would have to be evacuated by sea. However, sea evacuation would take a lot of time - 5000 nautical miles at 15 knots is 14 days.
Assuming that the embassy staff has been able to adequately prepare for a bug-in for 7500 people for 14 days, the best bug-in place would be at a prepared airfield to ensure evacuation of critical cases, women and children by air. Initial flight of organic assets would be a battalion combat team to provide airfield security. Lets call this the airborne element. A battalion combat team may not seem like much but able bodied men amongst the evacuees (preferably those who had previous served in the Armed Forces or at least paid attention during ROTC training) can be seconded and armed. Lets call this the militia element. All other able bodied men can be put to work digging trenches, preparing OPs, etc. Airborne element commander must put everyone to work otherwise the idle will merely complain. If the embassy was not able to provision adequately (which would probably be the case), incoming flights from the Philippines would have to bring water purifying equipment, medicines, food, ammunition and weapons. If a prepared airfield is not available, then only organic airlift assets could be used, significant reducing incoming loads and air evacuation.
By the 14th day on arrival of the evacuation fleet, the embarked battalion combat team (lets call this the marine element) would have to link up with the airborne and militia elements and escort the evacuees to a prepared port if available. If unavailable, evacuation from the beach is possible using LCUs, albeit at a much slower rate.
All of this presupposes a relatively stable evacuation environment (no ground attacks on the evacuation center and airfield, incoming and outgoing flights are unimpeded by anti aircraft fire). If attacks are happening, or if anti-aircraft fire is encountered, the perimeter must be enlarged to prevent this. Militia element would have to be enlarged and man the perimeter, airborne element would be used as a fire-brigade to reinforce threatened sectors (militia to fix enemy, airborne to maneuver). Upon arrival of marine element, port are has to be secured and fight its way inland (preferably avoiding built-up areas) to link up with the evacuees and airfield defenders. They must then fight their way out (Hungnam style) and get aboard the evacuation fleet. As a symbol of mission success, airborne element commander should be the last one out (Boris Gromov style). No one gets left behind.
Upon arrival in the Philippines, medals and round of drinks all around as tribute to the fallen.
