Oh, I don't think a good evangelistic worker is necessarily a logical theology reader.
I thought your list of things in some thread was mostly good, but feel many times that if the word debt, or the concept of sin as debt is not there, it dwindles to merely a person cleaning up themselves, which confuses how dire the debt problem is, or makes out Christ to be a 'cleaner' which raises the whole question of the messy death on the cross.
Because of the radical nature of destructive modern thought, you may be interested to know that I wait at least three open-ended questions with a non-Christian before trying to establish anything. Sometimes I just ask them 'what is the Gospel?' but usually the question is about the problem of evil or (with environmentalists) the problem of nature--the supposed innocence of nature. I believe in educating first because there is bonding. I believe all these questions are frequently asked in taverns. Last night, a threesome was talking next to me and the girl was insisting that God 'ordained' everything that happens. Every move, every thought. I was too tired last night to work myself in, but I have in the past.
Many times I have had a copy of the 1 page story by Schaeffer to give out, if the circumstance (the social event) is such that I can circulate back later. It is about the mountain rescue, the question of whether the hiking group has enough knowledge to jump off the ledge or not. "Faith vs 'Faith'" is not to be confused with any questions about what works a person does. It is strictly about whether it is normal to communicate with God. For ex., There is an evangelical church in the next county where I work and I appreciate the reader board's message because it conveys that the pastor knows he must back way up: "God is knowable." How many believers drive their truck right over this question and don't even know it's there?