>>660345
>Most Traditionalist Catholic groups will probably have you baptized again since sacraments performed outside the Church are considered by them to be invalid
By "traditionalist" you mean "schismatic"? Because accepting the validity of baptisms done by heretics has been the consistent Roman practice since the controversy on the subject between Cyprian and Pope Stephen.
If any traditionalist groups in communion with the Holy See reject the baptisms of Orthodox and Protestants as invalid, they're acting in opposition to the Church.
>You have a similar divide in Orthodoxy as well; some churches will accept your baptism and just have you chrismated (while allowing you to be baptized if you want), while others require you to be baptized.
You actually have three views:
1) Same as the Catholic view (baptisms of heretics are valid sacraments)
2) Baptisms of heretics aren't valid but Chrismation compensates for the lack of grace of the heretical baptism. You can get rebaptized if you want too.
3) Baptisms of heretics aren't valid and you need to be baptized again if you want to be in the Church. (some athonite monasteries will even rebaptize you if you're Orthodox but weren't baptized Orthodox)