The First Noble Truth, "life is suffering", is probably the thing that scares away most people who are interested in Buddhism in the Western world. It's a very harsh truth to accept, when the material society around you promises happiness with all number of items. Usually, Buddhist primers acknowledge this and explain why dukkha is not pessimistic. I think this would be better accomplished with rewording the First Noble Truth in the first place: for example,
"Happiness is temporary; at its core, life is suffering."
This would then prompt people to reexamine happy times in their life, and see that happiness always melts away in the end. Even if they don't see this, the question will be taken as similar to zebra-stripes (is it black with white stripes, or white with black stripes?) and then they can move on to the Second Noble Truth which is very easy to grasp.