Methods and apparatus for use by a mobile communication device (MCD) operating in a wireless communication network for increasing call performance through controlled temporary interruption of data transfer by the relay network outside of the wireless network. One illustrative method involves identifying a voice call request at the MCD operating in the wireless network and, in response to identifying the voice call request, performing the following actions of sending a pause data indicator to the relay network over the wireless communication network; sending a call confirm or setup voice call message to the wireless communication network for establishing the voice call; and maintaining the voice call at the mobile communication device. The pause data indicator is defined to pause data transfer for the MCD at the relay network. The method may further involve identifying a voice call termination request during the voice call and, in response to identifying the voice termination request, performing the following actions of sending a disconnect voice call message to the wireless communication network; and sending a resume data indicator to the relay network over the wireless communication network.