I know that this would indeed cause rioting... but I have to say that watching Vader's ship land on Coruscant at the end of ANH, and seeing him on a landing platform speaking to someone of importance (no clue who) would be a really nice tie in and look pretty cool
"Lord Vader"
"Yes, commander?"
"We have the name of the Rebel Pilot responsible for the destruction of the Death Star"
"What is it (What is his name)?"
"Luke Skywalker, my lord. It appears that he may be the son of Anakin Skywalker."
"That... is impossible"
"I believed all traces of Skywalker were eliminated with the rest of the Jedi."
"As did I commander... as... did... I..."