HulkOSaurus, that's almost exactly what I do.
I had a grenade / SMG character. So she would start near the middle, but closer to the left. Before the fight starts, hit at least one LZ with a gas grenade. Then, when the enemies emerge from the boat, I used napalm on the leftmost boat to keep them busy, then sprint over to the right-hand LZ.
The Naga is usually engaging enemies there at that point, so I tag-team with the Naga. Let it absorb nets and poison bolts and stuff, and weave in and out using various grenades and peppering everyone with bursts, which also suppresses them. At a high level, my character take down multiple enemies while bursting 4-6 times per turn. If you aren't strong enough, retreat and draw the enemies into the plasma turrets.
By staying in the centre, and centre-right, between the two right-hand boats, you can attack people emerging from the right-most while drawing people from the other two within range of the turrets. Lots of people were coming from the left boat to catch me, and getting gunned down by turrets.
The Aegis people, of course, do nothing most of the time. I don't even know how they are running down supplies, since they don't fire at the enemy 90% of the time, or get injured much. They just congregate near their turret, line up, and stay out of range of the enemy. They take combat drugs that expire and leave them tired before they even see the enemy. Honestly, supply depletion should correlate to how much the Aegis security actually fire at, and receive fire from, the enemy raids. Because they just loitered most of the time.