Kammala wannan jumla: A 1983, McCullough shi ne shugaban farko na Gidauniyar Wasannin Arewacin Queensland. Ya rike wannan mukamin har zuwa 1986. Daga 1989 zuwa 1999, shi ne Shugaban Wheelchair Sports Australia (yanzu 'Yan wasan Australiya da nakasa). A cikin 1994, an nada shi Shugaban Tarayyar Paralympic ta Australiya. Ya karɓi iko da Tarayya a lokacin da yake da iyakantaccen kudade da kuma kusa da fatarar kuɗi. McCullough ya kafa dabarun talla da tara kudi wanda ke da nufin tara dala miliyan 1.5 ga ƙungiyar don yin gasa a gasar cin kofin duniya.
Wasannin Paralympic na Atlanta na shekarar 1996. Sakamakon wannan tsarin shine Hukumar Hadarin Motoci ta New South Wales ta samar da dala 100,000 da aiki ga 'yan wasa 10 a cikin inganta nakasa ta hanyar hadarin mota. Yayin da yake shugaban kasa, ya tattauna yarjejeniya tare da Kwamitin Gudanar da Paralympic na Sydney don haka Tarayyar ta sami dala miliyan 5.5 don haƙƙin kasuwanci a cikin shekaru huɗu da suka kai ga wasannin Paralympic na Sydney na 2000. Waɗannan shirye-shiryen kuɗi haɗe da Shirin Shirye-shiryen Paralympic na Gwamnatin Ostiraliya ya sa ƙungiyar Ostiraliya ta gama na biyu a kan lambar yabo a Wasannin Atlanta na 1996. An maye gurbin McCullogh a matsayin Shugaba a 1997 ta Marie Little. Ya kasance Daraktan Kwamitin Gudanar da Paralympic na Sydney (1997<unk>2000).