Yes, nicely said, but don't forget that everyone gets enough prevenient grace to get an opportunity to believe in Christ. We don't know how God does it (and we don't need to know), we just need remind all we know that everyone is faced with the decision (and a fair one) as to what to do with Jesus Christ and our eternal Home depends on what we do with it.
I've run into a lot of people over the years in the course of witnessing who have had an experience with our Calvinist brethren and their construct and who have told me that the Gospel isn't for them because they're sure (because of the things they've done or the things that have happened to them or because one of these Gospel giants has told them) that they are not among the "elect". It is absolutely imperative that we not gloss over the fact that Christ died for sinners, and not for some, not for a few, not for some double-hardshelled, triple tulip group with a secret handshake somewhere -- but for everyone. And that's the Good News. Any less is just prideful smugness -- and not the Gospel.
Is that where you get you Gospel from?