Jesus does not discourage disagreement within the community of the Church; he acknowledges the reality of conflict and error and offers his disciples a means for addressing such matters.
The use of the term church in today’s Gospel is one of only three such occurrences in Matthew’s Gospel. Peter in this Gospel is being credited as the foundation for the Church, a privilege granted to him because of his recognition of Jesus’ identity. The Church continues to be grounded in the faith that Jesus Christ is Lord.
The faith that the Canaanite woman expresses is an affirmation of and confidence in God’s abundant mercy. Yes, salvation comes through Israel, but it overflows for the benefit of all.
When Peter fears and doubts the person of Jesus, however, he falters. Peter’s example teaches us that true Christian ministry emerges from the faith that Jesus is the Messiah, God’s only Son.
Until they witnessed Jesus’ Passion and Death, the disciples could not possibly understand what he meant by being "raised from the dead." We, however, have the benefit of hindsight.
In the parables of the mustard seed and the yeast, we are consoled by the message that God can work wonders and produce abundance from even the smallest beginnings of the Kingdom of Heaven.