Yes, I have ran Ifrit with warrior main tank as healer. As a healer, I prefer the Warrior to the paladin tanking. Warrior hold threat better and the larger HP pool heals me keep him up. If you have a smart team, you can do Ifrit with one whm, but I highly suggest you bring a paladin and bard as well. Paladins do help keep parties up, when they are not main tanks, and bards can help with spot heals as well.

On a side note, Mighty Strikes is actually helps you tank. Rampage heals the warrior for every crit he does... so mighty strikes give the warrior a nice boom in hp, if used correctly.