This is usually not expressed so clearly, but it does happen. We identify the person with their sin instead of seeing their heart, and we seek to destroy them, in subtle or not so subtle ways. It could be the whispers behind their backs or the looks of disgust we cast in their direction. It could be less subtle, like standing outside an abortion clinic or at a gay parade, holding signs that label people.
Definitely some mixed messages here. The initial "so we love the sinner" gets completely neutralized / cancelled out by the idea that "hating the sin" is accomplished by identifying the source (namely, the sinner) and destroying it (him or her).
Would you read this differently?