I didn't hear of any rifts or friction stemming from Venturi staying on to work under Ditka.
If you mean how did the Saints do regarding wins and losses, Moore is probably going to be a better head coach than Ditka was and Rizzi has already proven himself to be one of the best special teams coaches.
There's no question in my mind that Moore and Rizzi is a superior coaching combination than Ditka and Ventura, if Moore and Rizzi can work together professionally. All indications are both of them are very professional, so I think they would be able to work together if that's what they decide to do.