An engine control system comprises a temperature control module and an engine disabling module. The temperature control module regulates a first temperature of an electrically heated catalyst (EHC) based on a first predetermined light-off temperature while an engine is shut down. The engine disabling module selectively disables start up of the engine when a second temperature of a passive catalyst is less than a second predetermined light-off temperature while a maximum torque output of an electric motor is greater than a desired torque output.