The real issue relating to exclusiveness is whether or not the Christian actually has a relationship with God, a presence of God, which non-Christians do not have. Apart from Christian spiritual formation as described here, I believe there is little value in claiming exclusiveness for the Christian way.
Dallas WillardThe revolution of Jesus is in the first place and continuously a revolution of the human heart or spirit...it is a revolution of character which proceeds by changing people from the inside through ongoing personal relationship to God in Christ and to one another. It is one that changes their ideas, beliefs, feelings, and habits of choice, as well as their bodily tendencies and social relations. It penetrates to the deepest layer of their soul. External, social arrangements may be used to this end, but they are not the end, nor are they a fundamental part of the means
Dallas WillardWhat we can do with these means (our own unassisted strength) is still very small compared to what we could do in acting in union with God himself, who created and ultimately controls all other forces.
Dallas WillardGod is the treasure, and where the treasure is, there is the heart. By this we may test our love to God. What are our thoughts most upon? Can we say we are ravished with delight when we think on God? Have our thoughts got wings? Are they fled aloft? Do we contemplate Christ and glory? A sinner crowds God out of his thoughts. He never thinks of God, unless with horror, as the prisoner thinks of the judge.
Dallas Willard