This argument is wrong for one reason, and entirely hypocritical for another reason. To begin with; the wrong argument. The conservative argument is wrong because it assumes that gays will somehow have more rights than straights. For example, a common line of attack is that anti-discrimination laws are 'special rights' because they protect gays from straight persecution, but not the other way round. This is, to put bluntly, bullshit. If a straight person were to be fired because of their sexual orientation (a borderline non-existent example, but bare with me), under current legislation they would simply have to suck it up. With proper anti-discrimination laws, however, this hypothetical straight person would not be allowed to be fired. Pro G-BIT laws don't give anybody 'special rights'-they enhance the rights of everybody. It's just that some people will benefit from anti-discrimination laws more than others.
The coup de grace, however, is the inherent hypocrisy of 'special rights.' Religious organisations claim that gays will be receiving 'special rights' when it is in fact those same religious organisations that possess rights that nobody else has.
From The Age:
Quick translation: if you are religious, you are endowed with rights not granted to others. Nobody has the right to discriminate based on a person's personal beliefs-except for religious organisations. The same religious groups that rail against some people possessing 'special rights' (despite, as shown above, to be a lie) are the ones to seek special rights for themselves.
ATTORNEY-GENERAL Rob Hulls will today announce a controversial compromise struck with the state's religious groups that will allow them to continue to discriminate against gays and lesbians, single mothers and people who hold different spiritual beliefs.
In a move that has delighted religious groups but angered gay activists and discrimination experts, Mr Hulls will protect the right of hundreds of church-run organisations - including schools, hospitals and welfare services - to refuse to employ or provide services to people who they believe may undermine their beliefs.
It is entirely correct to say that some people have more rights than others. True to form, those with special rights are those who have the most political power.