That is where I was going with my earlier question.
If you agree with the Joint Declaration on Justification between Catholicism and Lutheranism, what distinctly Lutheran teachings are there that one would not find in Catholicism?
A problem I see is that a number of Lutheran teachings are rejections of Catholic teachings. Your children would learn about the role of the Pope and Sacred Tradition from Catholicism but then be taught sola Scriptura in Lutheranism. They would learn about the Real Presence through transubstantiation in Catholicism but through consubstantiation in Lutheranism (consubstantiation regards transubstantial views of the Eucharist as idolatrous).