I found a simple and easy tactic to stop Carlito's reign of fire on the Food Court in the Case 'Backup for Brad'. First get a Stun Gun ready! Get behind the Wild West set up where Carlito is covering. Climb up the boxes to his level and take cover behind the corner of the fake building where he stands. He will relise your location quikly so have the stun gun ready. As he rounds the corner to shoot get him with the stun gun! This will stop him and deplete his health completly without a strong resistance!
Occasionally, a stun gun is created from destroying cardboard boxes. You can destroy them if you have the roundhouse (and sweep) kick, or the knee drop (level 25).