The 32S(d,2He)32P charge-exchange reaction has been studied at forward angles and at an incident energy of Ed=170 MeV . The two protons in the 1S0(pp) state (indicated as 2He ) were both momentum analyzed and detected by the same spectrometer and detector. High resolution 2He spectra have been obtained allowing identification of many levels in the residual nucleus with high precision. The (d,2He) reaction selectively excites spin-isospin-flip transitions, and at vanishing momentum transfer these are largely governed by the Gamow-Teller transition operator for the ?+ direction. In the case of the self-conjugate nucleus 32S , the (d,2He) probe is calibrated against the elementary (p,n) probe going into the mirror ?- direction. The deduced results are compared with those obtained from (p,p?) and (e,e?) reactions, which excite the same levels in the isospin multiplet. Angular distributions of cross sections for the (d,2He) reaction are presented and compared with DWBA calculations. A level-by-level comparison with shell-model calculations using the USD interaction has been performed, and the structure of the l -forbidden ground state transition is discussed. From the comparison with (p,p?) , (e,e?) , and (p,n) data the isospin-analog J?=1+ levels in the triplet of the A=32 nuclei are deduced.