To take gay marriage as an example, I think you're wrong. The "right" wants to prevent a couple from being married. The "left" wants to allow them to be married. The "right" wants to deny a choice, whereas the "left" wants to allow it. The "right" want to impose its morality on that couple. The "left" specifically doesn't want to. This strikes me as being an "I disapprove of what you say, but I will defend to the death your right to say it" proposition. I'm not saying that the "left" isn't guilty of trying to impose their ideals on others in other cases, but gay marriage affects no one besides the gay couple, especially assuming that you're in favor of allowing gay couples the benefits associated with traditionally married couples.
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Bitt Faulk