A control system for a hybrid vehicle that includes an internal combustion engine and an electric motor includes an engine speed control module, an air pressure control module, and an engine torque control module. The engine speed control module increases engine speed during a first calibration period based on a driver torque request and a predetermined torque threshold. The air pressure control module decreases intake manifold pressure (MAP) of the engine during a second calibration period based on the driver torque request and the predetermined torque threshold. The engine torque control module starts the engine during a period after the first and second calibration periods by activating N of M cylinders of the engine, wherein N is based on the driver torque request and the predetermined torque threshold.