Graham has always had a very specific and narrow definition of what being a "Christian" means, like all of the evangelical bigwigs. To him, being a "Christian" has very little to do with belief or faith or theology, and a lot to do with what you say and do and the causes you promote. To Graham, a "Christian" is anti-abortion, anti-gay, pro-capitalist, anti-socialist, anti-intellectual, anti-liberal, pro-small government, anti-regulation, pro-military, anti-taxes, and pro-self reliance.
It is interesting to note a few facts from the teachings of Jesus.
Anti-abortion? Jesus himself does not mention abortion even once in his ministry, and the Old Testament law very specifically places less value on an unborn fetus than it does a child.
Anti-gay? Again, Jesus never mentions the subject, and you know that a single man traveling in the ancient Roman empire with a dozen other single men had the issue raised to them...
Pro-capitalist? Jesus rejected wealth, material possessions, and all forms of material acquisition.
Anti-socialist? Jesus was a near textbook example of socialism in action.
Anti-intellectual? Jesus' entire method of teaching was to systematically challenge the intellect and minds of his listeners. He rarely answered questions, but instead facilitated people to discover the answers for themselves. he was textbook Socratic method, which is a frighteningly difficult teaching technique.
Anti-liberal? Jesus was a shockingly progressive liberal.
Pro-small government? Anti-regulation? Jesus refused to involve himself with the affairs of government.
Pro-military? Jesus categorically rejected violence in all forms, including military action.
Anti-taxes? "Render unto Caesar what is Caesar's." Jesus quite specifically told his followers to pay their taxes, since they were not supposed to be focused on material gain anyway.
Pro-self reliance? Jesus was very explicit when he told people that we are all interconnected and none of us can function without others. Am I my brother's keeper? Jesus' answer is a most emphatic "yes."
In a nutshell, the evangelical movement in America has changed the game in defining a "Christian." All you have to do is SAY you are a Christian and support dozens of causes and agendas that Jesus either remained entirely silent on or was very explicitly against. The modern evangelical movement bows to Jesus while entirely ignoring almost everything he taught and said.