He was educated at Christian Brothers' High School, Highgate and the University of Western Australia. He also taught at various schools across Perth.
In 1989, he was elected to the seat of Nollamara, which has since been renamed Balcatta. During 1992 he was the Parliamentary Secretary to Cabinet in the Lawrence Government.
During the years of 1993 to 2000, when the Labor Party was in opposition, he served as the spokesperson for Labour Relations, Planning, Lands, Housing, Youth, Education, Employment and Training, Works and Services and Freedom of Information.
He served the portfolios of Training from 2001 to 2003 and as the Minister assisting in public sector management from 2003 to 2005.
On 20 March 2012, Kobelke announced that he would not stand for re-election in the 2013 Western Australian State election due to personal reasons.[2]
Kobelke died at a hospital in Perth on 23 June 2019.[3]