I don't think heat generation is a problem in your circuit. Operating saturated has little effect on the current consumption. Are you concerned about power consumption (e.g. battery operation)? If so you could operate the op amps at a lower voltage.
Note that as those high speeds, circuit layout is critical. You need a good ground, preferably a ground plane, with short signal connections and 0.1µF decoupling caps with short leads directly at each power pin to ground. If you do a breadboard, use vector board with a copper plane for the ground.