Harry kissed by a Dementor

So this is something I like to talk about from time to time. Since a part of Voldemort’s Soul lives in Harry do you think of a Dementor would have kissed Harry that the Dementor would only go for the juicy and whole Soul of Harry (I mean there is also the possibility that a Dementor wouldn’t be able to remove the part of the Soul from a horcrux in the first place) leaving behind the part of Voldemort‘s Soul in Harry‘s now empty body? And if so would the part of Voldemort‘s Soul be able to take control of Harry’s body, resulting in the existence of two Voldemorts at the same time?