Nah. If you take the 'free' part out of 'free speech', then it no longer is free. There would be consequences to speech, thus someone can come along, at any time, and decide what can or can't be censored based upon what they feel to be hate speech or whatever.
Like, Christians already are accused of practicing hate speech all the time if they aren't ardent supporters of the LGBT community. I was called a racist because I didn't like Obama's policies. I only mention that to say, where would the line be drawn if you can just consider what someone says is a hate speech and effectively shut them down from supporting a candidate they want, protesting who they want, worshiping who and how they want, what beliefs they can uphold and share, the types of messages pastors and priests can speak about from the pulpit, and on an on.
Once you start taking that path, there's no way to know how far it will be pushed and it effectively takes away our freedom to express ourselves in any way we deem fit.