Complex sentence: Behind the scenes, Dunstan sometimes found Corcoran's plain-speaking style useful, in order to control troublemakers within the ALP, while Dunstan remained the smooth public face of the Labor government.
Split into simpler sentences: Behind the scenes, Dunstan sometimes found Corcoran's plain-speaking style useful, in order to control troublemakers within the ALP. Meanwhile Dunstan remained the smooth public face of the Labor government.