Secret Rapture?

A whole bunch of Christians believe in a secret rapture. In many pockets, it is a matter of orthodoxy. It's gospel. I have been surprised to find that many can't point to a single passage which teaches a secret pre-tribulation rapture. Yesterday, I read the main passage that Dispensational theologians will use to prove their doctrine: 1 Thessalonians 4:13-18. That passage reads,

"We do not want you to be uninformed, brothers, concerning those who are asleep, so that you will not grieve like the rest, who have no hope. Since we believe that Jesus died and rose again, in the same way God will bring with Him those who have fallen asleep through Jesus. For we say this to you by a revelation from the Lord: We who are still alive at the Lord's coming will certainly have no advantage over those who have fallen asleep. For the Lord Himself will descend from heaven with a shout, with the archangel's voice, and with the trumpet of God, and the dead in Christ will rise first. Then we who are still alive will be caught up together with them in the clouds to meet the Lord in the air and so we will always be with the Lord. Therefore encourage one another with these words"

I confess I simply don't see it. Let me point out three simple points about this passage, which make the pre-tribulation rapture view implausible:

First, there is nothing secret about this coming. There will be a shout; an archangel's voice; a trumpet. Unless we are dealing with a sort of "Christian dog whistle" here, Paul's point is that this is going to be a very loud event. Certainly not a secret one.

Second, if the secret pre-tribulation rapture view is right, Paul's encouragement (and that's the main purpose of this passage) would be strange. The confused Thessalonian Christians were concerned that the Day of the Lord has already happened (5:1-2). They were worried about their brothers and sisters who had already died. But if the Dispensational view was right, all Paul would have had to say was, "Look around sillies, we are still here on Earth so of course the secret rapture has not occurred yet."

Third, and most importantly, the word for "to meet" (apantesis) was a popular one in the Greek world. It was a word used when a visiting dignitary came to town. Much like today, if President Obama came to town, we wouldn't just let him mosey on in. The people of the city would go out of the city "to meet" him and escort him into town to his desired destination. Paul plunders imperial vocabulary here to say that when the Lord loudly returns, we who are alive will be raptured - meeting him in the air - in order to escort the King to his renewed earth, where we will be with him forever.