I think we've all heard the saying "Love the sinner, hate the sin." I hear it most frequently applied to homosexuals, but it's used in even the less mouth-frothing sins: greed, lust, adultery, murder, negative emotions.
Now, the comparison I'm about to make works best when just looking at homosexuality, because of the issue of identity. Essentially, what's said is "Love the person, hate who/what the person is."
What if that was reversed? What if people started saying, "Love the Christian, hate the theology/religion?" Can the two really be separated so easily then? Isn't it like telling the Christian, "While I say I love you, I actually hate everything that makes you the person you are." You're saying you hate the concept of God, you hate their view of humanity, you hate how they use the religion to define themselves. And since Christianity is supposed to be everything, and is supposed to shape everything about the person, aren't you hating the person themselves?