The placing of Christmas at midwinter is nothing to do with Saturnalia or Yule. I might upset you to realise that pagans have no issues with Christians -it's always been the other way round.

No, the reason Christmas was placed at midwinter is because this is also the time at which Mithras was born. Mithras is an autochthonic solar hero and the centre of a mystery cult of Persian origin that for a time rivalled Christianity in the West. Unlike the pantheistic pagans, who regarded Christianity as just one version of the truth among many, Mithraism must also have been exclusive and proselytising, or it wouldn't have caused so much concern.