A mobile wireless communications device may include a portable housing, at least one wireless transceiver carried by the portable housing, and a satellite positioning signal receiver carried by the portable housing. Moreover, a satellite positioning antenna may be carried by the portable housing. The satellite positioning antenna may include an active element connected to the satellite positioning signal receiver, and a passive element connected to a voltage reference and positioned in spaced apart relation from the active element and operatively coupled thereto for directing a beam pattern thereof.