That is after all what they do today (or well, from Umm Qassr, byt the difference should not be big). This new situation with mugh greater insurgent activity could be countered with indiscrimante firepower.
Of course, there will be convoy losses, but that is not of great importance. Peak oil is not an energy crisis. It is a liquid fuel crisis.
I would worry a lot more over naval casualties. Losing an aircraft carrier is not at all unimaginable.
Still, that would not be a critical blow either. From a military perspective. Peak oil is not an energy crisis. It is a liquid fuel crisis.