You don't get it, do you? It is not about healing. It is about praying and Christians only do so to the Triune God and with fellow believers.
It's uncomplicated and not restricted to any denominational dogma. Christians pray with other Christians and pray only to the one true God.
Call it zero tolerance, if you will. Jesus said, "I am THE way, THE truth and THE life." He did not say I am one of many ways.
All I get is this: It was supposed to be an interfaith service on September 23, when there was still a flicker of hope of finding a live person in the still-smoking ruins. The people who belonged to the churches that reach out to their neighbors wanted to show compassion for the still shocked people of New York City, and to gather together in hope and prayer as a gesture of solidarity for the survivors still seeking their loved ones, and answers as to why this happened. Churches that either refused to participate (or criticized those who did participate after the fact) over petty religious differences actively denied their comfort to those people. What would your vision of Jesus do? Put people to death over whether he was God, or man, or God and man, as those 4th century despots that I referred to earlier would? These are the kinds of minds that would produce volumes of justification for criticizing this minister for trying to bring what he believed was God's love to people in need. Good thing the church elders set him straight on that!
By the way, before you go quoting Jesus, you, nor I, nor anyone has any way of knowing exactly what he said. Not a single word of it was written down until at least a century after his death, and by that time, a persecuted band of people had metamorphised all the stories into legends. Even then, the written legends were sorted out centuries later by people who had nothing but their personal predjudices to guide them as to what to keep and what to throw out. Build a lifestyle of belief on that, if you wish, but don't sell that belief as a religion of love if you would deny ordinary decent human compassion to those who lost loved ones in the 9/11 tragedy.
If you combine such righteous narrowmindedness about the will of some supposed God, with the willingness to kill, you have exactly the mindset of those who flew the planes into the towers and created the need for the interfaith service in the first place.