To me this is a very dangerous philosophy. Let me try and explain before I am filleted. Many people try drugs, alcohol, sex, homosexuality, and many other things looking for something to make their lives better, something akin to "happiness". When evangelists say "Try Jesus, he will make your life better. He'll take away your problems and make you happy." People take them at their word and go ahead and give this "Jesus-thing" a try. Some evangelists even go as far as say that he will make you wealthy. But when the promises of persecution and suffering come they fall away from the faith. When things don't change for the better or their idea of "happiness" is not met they stop doing the "Jesus-thing" and consider themselves no longer Christians. They become bitter and feel as though they have been lied to, and rightfully so. Most have had what could be seen as false-conversions. In practice, this concept is manifest when many evangelists report thousands upon thousands of conversions but upon followup, very few new believers can be found attending regular worship.
Ray Comfort has a very good exposition on this teaching and I highly recommend that any believer take time to listen to the sermon entitled "Hell's Best Kept Secret".
As a person that didn’t come to Christ until they were 35 (and was unchurched, unschooled, and unknowlegable about Christiantiy), the “try Jesus” approach does work if you are talking about opening yourself to learning about Jesus.
The analogy I use for my conversion is a sailboat being pushed by a slow breeze towards shore. At first the port is hard to see, but as the breeze pushes you towards shore the port becomes easier to see. As you approach, you become confortable with the idea of arriving at the port. When you arrive, stepping onto shore is just one last step in a long journey.
So many people want to just dump every religious concept on a person at one time, or expect people to suddenly jump headfirst into Christiantiy. That’s like being a sailboat at sea and having a gale-force wind come up and suddenly drive you into port in a manner of seconds. Some people might jump off the boat, but I can say for myself, I would not have. I’m stubborn enough that I wouldn’t allow any storm to force me to do anything. I would have stayed in the boat, ridden out the storm, and then gone somewhere else.
God reaches people in different ways.