I disagree with his premise that the rapture is the first event of the day of the Lord. He uses several New Testament references but they actually speak of the day of Christ or the day of our Lord Jesus Christ, which speaks of the rapture and not the day of the Lord: I Cor. 1:6-8, 5:4-5, II Cor. 1:13-14. I really disagree with his interpretation of those three passages.
Paul distinguishes the two events clearly in II Thes. 2:1-2, first mentioning the coming of our Lord Jesus Christ and our gathering to Him (the rapture), then speaking of the day of the Lord. Two different things.
The day of the Lord, the day of wrath, the 70th week of Daniel, which is clearly seven years, begins with the signing of the covenant by the Antichrist, Dan. 9:27. The rapture is never presented as happening simultaneously with this event. In I Thes. Paul says the rapture happens first. In 4:14-18, he tells of the rapture happening. Then, in chronological order, he speaks of what follows, 5:1-9. After the church is gone, the day of the Lord will come like a thief in the night (Jesus is never said to come for the church like a thief in the night). 4, that day will not overtake us; we, the church, will be gone. That is pretty clear that the rapture is not part of the day of the Lord. The day of the Lord is the day of wrath, and we are not destined to have any part in that day, 5:9.
Regarding a few other things he says.
I don't believe the rapture is found in the Olivet Discourse, but I know some do. He claims that both views cannot be right. Actually I think they can. Many Bible passages have more than one layer of meaning, many have several. I believe the primary meaning of "no man knows the day or hour" refers to the second coming, but I could see that there could be application to the rapture. Another passage that leads to several differing views that could all apply is the fig tree and "this generation."
He sees Mat. 24:36-51 as rapture verses, which Jesus addresses out of order. I believe Mat. 24-25 are in chronological order and that those do not speak of the rapture because Jesus was speaking to and about Israel, not the church.
He speaks of the ark representing Jesus and the rapture, yet fails to notice that the flood did not happen the moment they entered the ark, just as God's judgment--the day of the Lord--does not begin the moment of the rapture.
He refers to the rapture and subsequent tribulation as the two end-time comings of Christ--???
In his discussion of eating, drinking, marrying and giving in marriage, he adds the words "life is basically normal," which many do, but which is not in the words or meaning of the text. Life may not be normal but we know business continues to take place because receiving the mark allows people to buy and sell and participate in the economy.
He believes, as many do, that Mat. 24:40-41 refers to those left behind at the rapture, but because this chapter is indeed in chronological order, we know this takes place at the second coming, and is explained in more detail in Mat. 13:37-43 and 47:50, when the wicked who remain alive at the second coming are removed alive and thrown into hell, kind of a reverse rapture.
He says that to watch/be alert and be ready in Mat. 24:42-51 is equivalent to speaking of salvation. I don't think so. Jesus didn't warn them to be saved, to believe, to receive, to be born again; He is speaking not to the church age but to the Old Testament dispensation, which will be in play in the tribulation as the last seven years of God's plan for Israel is completed, Dan. 9:24-27. Not having the indwelling Holy Spirit or eternal security, which is only for the church, they must be living righteously when He returns; this is elaborated on in Mat. 25:1-13, the parable of the ten virgins, and Rev. 14:12, 16:15. Only those who are doing that will be "counted worthy" (KJV), which I think is better translated in the NASB as "have strength," to escape all these things that are about to take place, Luke 21:36. He says that means to escape the tribulation, but I think it means to make it alive to the end, to not die in all the disasters and persecution.
I do agree with him that Jesus hinted at the rapture a few times.