Buuxi weedha soo socota: Joseph wuxuu guul dhexdhexaad ah ka gaaray horyaalada hiwaayadda isagoo dhaliyay 127 dhibcood kooxda Victoria Cougars ee WHL sanadkii 1984. Kadib, Joseph waxaa doortay Toronto Maple Leafs 109aad guud ahaan
Sanadkii 1984 kii ayaa loo doortay NHL. Sannadkii 1985, wuxuu ku biiray kooxda qaranka Kanada. Joseph waligeed ma uusan ciyaarin NHL. Kadib waqtigiisii kooxda qaranka, Joseph wuxuu ku biiray Nova Scotia / Cape Breton Oilers (oo xiriir la leh Edmonton Oilers) sanadkii 1988. Joseph wuxuu ahaa kabtanka kooxda xilli ciyaareedkii 1989 iyo 1990 AHL. Waxa kale oo uu dhaliyay 30 gool ama ka badan mid kasta oo ka mid ah seddexdii xilli ciyaareed ee uu la soo qaatay kooxda (31 sanadkii 1988, 32 sanadkii 1989 iyo 33 sanadkii 1990). Kadib, 1991-92, wuxuu ku soo laabtay Kooxda Qaranka Kanada wuxuuna ku guuleystay laba billadood oo dahab ah oo Olombikada Jiilaalka ah (1992 iyo 1994) sidoo kale wuxuu ahaa kabtanka kooxda. Isku soo wada duuboo, Joseph wuxuu dhaliyay 163 dhibcood 282 ciyaarood isagoo la ciyaaraya kooxda Qaranka Kanada. Joseph wuxuu sidoo kale waqti ku qaatay ciyaarista horyaalada Switzerland iyo Talyaaniga ka hor inta uusan ku dhameysan xirfadiisa ciyaareed Milwaukee Admirals ee Horyaalka Hockeyga Caalamiga ah 1996.