Given the disastrous public relations record of the recently begun Synod on the Family, most Catholic reactions have been along the line of 'calm down'. That's fair. It won't really matter until the last signature is down and the Pope has spoken. And that's a long way down the road. Liberals and secularists are hoping, of course, that this is the first small step toward turning the Catholic Church down the path of post-Christian liberalism. Traditionalists and Conservatives are worried about the same.
The reactions are basically divided between those two groups. With moderate to liberal Catholics joining he chorus of 'don't worry'. Which, itself, is worth noting. Nonetheless, most of the stories picked up on by the press are things the liberal advocating press wants to be heard. Such as Cardinal Raymond Burke being demoted; Burke is, of course, a known critic of what he sees as Pope Francis's more liberal approaches to certain social issues like homosexuality. If there is any real push back by those not wishing to embrace a liberal turn for the Church, you'd never know it.
At least not if you're counting on the press. Here's a story from a different perspective. Take it for what it's worth. If the Church embraces the liberal templates for social morality, it will not be surprising. It already has embraced much of liberal scholarship and scientific theory. As well as political theory and action. This would be the next step. And not the first. It isn't as if the Catholic Church has an untarnished record when it comes to embracing the latest, hippest societal changes in the civilizations by which it finds itself surrounded. But we'll have to see.