The law actually discriminates against hetrosexual couples, same sex couples can choose EITHER civil partnership OR marriage, but hetrosexual couples can ONLY choose marriage. The only thing a same sex couple can not have is a religious marriage , they can and do have civil marriages since the law changed.
As The Bible says '' For a man to 'lie' with another man as he does with a woman is an abomination unto God'' there is no way a main stream church will ever conduct a same sex marriage. It would be like asking the police to allow theft and murder.