Trim all reverences to Obi-Wan being Liam's student and Qui-Gon's surname and he could be Luke's dad (if you drop ROTJ the only film that refers to him as Anakin Skywalker).

You could even edit in Obi-wan calling him Qui-Gon Skywalker.

Drop ESB and you don't even have to do that.

Yoda and Mace could continue to moan about him, Obi-Wan could advise he would be on the council if he towed the line more.

Palpatine could refer to Darth Vader instead of Maul.

It's sort of makes sense really.