Unlikely in most cases, given that this is recognised as an extremely rare event and not something most people would expect in their current lifetime. Even the understanding of Nibbana, like the snuffing out of a flame is very hard to comprehend, it is not a personal achievement.
Most would be drawn to Buddhism within their own culture by absorption and tradition, and in many respects the more mundane aspects of Buddhism function not dissimilarly to old fashioned Christianity with it's petitionary prayer, a wishing for better fortune.
At deeper levels (and where outsiders might be brought into the fold), it is as others have mentioned suffering. If Nibbana is the ultimate exit ramp within Buddhism, perhaps the entry point lies in the Four Noble Truths.