Q: We want to have our son baptized. Can non-Catholics be invited to be God-parents? If not, can we choose not to have god parents?
It is necessary to have one godparent who is a Catholic. Another person, a Christian, may witness the baptism along with the Catholic godparent.
The principle that the Church wishes to stress when a request for infant baptism is made is that the parents, supported by the godparents, will ensure that the child be raised and instructed in the Catholic faith.
May I suggest that you look at the Catholic Australia web site: http://www.catholicaustralia.com.au/. There you will find a section on Baptism which is helpful.