Those with kingdom hearts do not simply focus on their church or their ministry but they intentionally bless the ministries of others. I love the concept of local churches who weekly and publicly pray for other churches in the community. In doing so, they are not only calling down God's blessing on those other churches but sending a message to their congregation that "we as Christ followers are in this together" and that God's work is greater than our local work.
The same could be said for missions who pray for other missions and ministries who choose to pray for their fellow ministries. In fact, praying for like minded ministries is the first step in moving from competition to cooperation.
There is a group of churches in Gurnee, Illinois who have banded together across denominational lines to intentionally bring the gospel to every home in Gurnee in a relevant way. That did not start with some grand scheme for evangelism. It started as kingdom minded pastors gathered over the course of a number of years and developed relationships with one another, prayed with and for one another and for their community. As their hearts were knit together through prayer, their hearts were expanded beyond their own provincial interests to the broader Kingdom and Jesus interests of all people in Gurnee being introduced to the Gospel.
Provincialism - thinking only about ourselves and focusing only on building our ministry fosters competition. It also fosters pride in what we do and how we do it rather than a humble acknowledgement that we are but one of many ministries that contribute to the enlargement of His kingdom. We want a mindset that appreciates our part in God's work but also appreciates that we are but one ministry committed to accomplishing his purposes.
For instance, ministries that focus on themselves rarely cooperate with other ministries. This is true of mission agencies and local churches. If an idea is not their idea, they will rarely use it. And so we duplicate resources and energy rather than leveraging ourselves together for the sake of the Gospel.
Kingdom hearts start at two levels. First, it starts at the level of prayer where we pray for others as we pray for ourselves. And second, the level of relationship where we get to know each other, and through relationship start to appreciate one another and the value that our ministries bring to the table. We also begin to trust one another. As God knits our hearts together we find ways to bless one another and ways to cooperate with one another.