Is the difference between a hate crime and terrorist attack the desire to effect some sort of change through terror? E.g, someone shooting up a church is trying to terrorize churchgoers of that race to stop going to church?
And yes, this creates a chilling effect for immigrants and churchgoers. That's the intended result.
I understand many people don't want immigrants for economical or cultural reasons. That's okay. Killing everybody inside a mosque is not okay.