Rochdale: I agree with your sentiment about the more vociferous support of leftist limits on unfettered speech, but the political right is hardly without its skeletons in the closet.  It wants to limit a woman's right to make decisions about her body.  It has traditionally been associated with racism and discrimination.  And so on.

As suggested earlier, the best approach is to preserve the benefits that have come from the past (conservative) along with trying to improve on some of the deficiencies from the past (liberal).  The political centre tries to build on the best of the left and the right.  Unfortunately, in our current political climate, few seem interested in the middle ground.  I guess bellowing one's views through a megaphone is simply too attractive.