Any Idea is allowed criticism, it's just how it is. Mocking a religion is something else. To mock is to insult, to insult is to hate, and to hate is to create animosity among us. Contrary to popular belief, the way you word your critique matters. Take for example, a man smells and you go up to him and give him a drawing depicting him in a pile of shit, don't expect a nice reply. He will hate you, and it would be much worse if you show that picture to more people. Whereas if you take him aside, and politely tell him that an odd odor is coming from him, he will probably thank you for saving him from embarrassing himself in front of others. In the same way, a person identifies himself with his beliefs, and when you mock and disrespect, the result won't be nice, it's that simple. Religion isn't free from criticism, but it is free from mocking as is any idea that is held dear to people.
Freedom of the Press should entirely include the freedom to mock religions. If you believe for CERTAIN that you are in dialogue with the creator of the universe and that he promised you an eternal happy land after you die if you be his personal bitch-on-Earth for your entire life and submit yourself to his mind-numbingly archaic commandments you deserve to be mocked, as does your religion. Does mocking divide people rather than unite them? Sure, but it would be worth seeing people abandon their idiotic, iron-age beliefs for true rationality and see the elimination of self-repression by pseudo morals.
Religion may be held dearly to many, and seen as something else, but it is still an ideology nonetheless. In the same manner other ideologies (such as Marxism, Islamism, Veganism) are subject to ridicule and being questioned, religion has no special claim. Ideas that claim to be outside of being open to this kind of scrutiny shroud themselves in dogma, and dogma is the opponent of any society that claims to have developed to a stage of critical thinking.
If you display a public opinion or belief and someone mocks you then that is simply equality in place. It wouldn't make sense to be able to mock every other idea other than religion, and what exactly makes it so special that it should be shielded from criticism? Nothing. It is just another claim, a belief (which has no evidence.)
If people didn't receive criticism for what they thought then they would never question their beliefs. It wouldn't help them grow and change or (hopefully) become wiser about it. They would just remain in their protective bubble all their life and plug their ears once they hear a different opinion (there are even people which do this now.)
It is a terrible idea overall.
The freedom of the press was meant to protect the rights of those who criticize the establishment through writing and print. However, freedom of the press should not be abused to threaten or slander faiths and religions. If we lose the freedom to criticize religion through the press, a slippery slope is formed.