After Bowman's brutal murder, grab the gun on the table and start shooting everyone. Woods will give you some support and point you to some new weapons.
You should split up with Woods and take the other paths. This will lead to huge caches of a mixed variety of weapons, from submachine guns, shotguns and rifles. You'll come to a helicopter that the two of you will steal.
Take out the ground forces and several enemy choppers will come on your tail. Use your missiles to shoot them down before they can deal too much damage. Remember, just like the boat in previous levels, the helicopter will self-repair after short amounts of time.
You'll come across more missile patches that will require you to take extra care. Destroy more helicopters and you'll now land. Shoot the guards outside and enter the damp dark cave.
Free Reznov from his black box and charge forth towards the enemy leader. Be sure to pick up the AK47 with a flamethrower and burn down the onslaught of soldiers.
Move into the last room and press the buttons that appear on screen. Eventually, Woods will come to your aid and finish things off.