Although it is not a requirement that all in the wedding party be baptized, it would not be appropriate to include in the wedding party individuals whose lifestyle grossly conflicts with Bible principles or whose conduct would raise questions in the minds of those attending.
In other words, unbeliever daddy is not going to walk his daughter down the aisle, because that could stumble the ex and JW in-laws. Just sit there, shut up, and don't forget your checkbook.
@JuliaOrwell: good for you! I wish that had been my experience.