Not really. Why not watch the zeitgeist video. What I’ve been trying to say (for 3 years now!) is that Christians didn’t get the date of Christmas from paganism/Saturnalia/winter solstice. There is no documentary evidence for this. The winter solstice isn’t even December 25. What the church did was assume a date for the annunciation and count forward 9 months. Please see the History for Atheists channel for information.
Actually Easter is about the resurrection, not about a Christian desire for a spring celebration in imitation of paganism. The crucifixion/resurrection took place in the Spring, about the time the Passover was celebrated.