I looked through the
Book of Common Prayer and found I was misremembering the confirmation service (what can I say, it was a few years ago.)
Among the vows made at Confirmation, found on page 417:
Bishop Will you seek and serve Christ in all persons, loving your neighbor as yourself?
People I will, with God's help.
Bishop Will you strive for justice and peace among all people, and respect the dignity of every human being?
People I will, with God's help.
I'm pretty sure that the attitude of the splitters violates these two vows.
As for ordination, the case is much, much clearer. From the rite of ordination of a deacon, pages 538-539 (emphasis not in original):
The Bishops say to the ordinand
Will you be loyal to the doctrine, discipline, and worship of
Christ as this Church has received them? And will you, in
accordance with the canons of this Church, obey your bishop
and other ministers who may have authority over you and
your work?
Answer
I am willing and ready to do so; and I solemnly declare that I
do believe the Holy Scriptures of the Old and New Testaments to
be the Word of God, and to contain all things necessary to
salvation; and I do solemnly engage to conform to the doctrine,
discipline, and worship of The Episcopal Church.
The Ordinand then signs the above Declaration in the sight of all
present.
This same vow, along with signing it as a declaration, is made when a deacon is ordained a priest. A nearly identical vow is made when a priest is consecrated a bishop. Clergy that lead their parishes away from the Episcopal Church and bishops that allow such parishes to retain church participation or who themselves have split are in clear violation of their vows.