I'm sure Kyle understands perfectly well that "what he did is NOT acceptable to a lot of people". In fact, he just sat through a multi-day session with an entire set of people trying to prove exactly that and put him in prison for a very long time. Let's just say he understands. What Quid Pro, however, needs to understand is that assassinating a minor's character in a very public way for political gain is NOT acceptable to a lot of people, and a meeting with Kyle accompanied by a public acknowledgement of being wrong would go a long way towards establishing that he understands.
As for people getting over it, unlikely. The usual suspects are determined to destroy Kyle's life for as long as he's alive.