Let's try to clarify some muddy waters. The Christian Church has historically believed in the Second Coming of Christ, but the idea of the "Rapture" is a fairly new innovation in Christian theology. The earlier creeds of the church - the Apostles' Creed and the Nicene Creed - both embrace the belief in the Second Coming explicitly.
The Apostles' Creed concludes a litany of beliefs regarding Jesus with these words: "... the third day he rose again from the dead; he ascended into heaven, and sitteth on the right hand of God the Father Almighty; from thence he shall come to judge the quick [living] and the dead."
The Nicene Creed also connects the Second Coming with the resurrection and ascension of Christ: "On the third day he rose again in accordance with the Scriptures; he ascended into heaven and is seated at the right hand of the Father. He will come again in glory to judge the living and the dead, and his kingdom will have no end."
I like to think of creeds as snapshots of the ongoing and ever-moving life of the church. These two creed are among the earliest post-biblical creeds that we have and have been generally accepted as reliable expositions of the Scriptures by most of the church throughout its history. What they envision is that - without being specific regarding when or how - Christ will come again as the judge of humankind, both living and dead. What is important in these creeds is that the Second Coming is of one cloth with the incarnation, life, teachings, sufferings, death, resurrection, and ascension of Jesus' First Coming. It is the "consummation" of the story of salvation.
There is no mention of a "rapture" in these creeds. Some of the folks who embrace the doctrine of the "rapture" will tell you that it is because in the latter days God has given us insight into the Scriptures that our forebears did not have. I would argue that there is no mention of the "rapture" because a belief in the "rapture" is not a constitutive Christian belief. I'm not saying that those who believe in the "rapture" are not Christians. I am saying that one who is a Christian does not necessarily believe in the "rapture."
While they are intended to be related, the "rapture" and the Second Coming are different things. This week, I'll take a break from the "Harold Camping Watch" and talk about the differences between the "Rapture" and the Second Coming for a bit. It won't be as entertaining, but I would greatly welcome your input as we all strive to be faithful together.