No that has little to nothing to do with the issue. The big difference is that Judaism does not accept the idea of original sin. The story about Eve (along with Adam) eating the fruit is about growing up, not about passing something horrible on to your children. In Judaism, babies are as innocent as anything could be - they do not need to be saved in any way. Cared for, loved, raised, yes, but saved, no. Therefore, there is no role for Jesus to play - so it is more of a "no comment" than rejection.
