The mid-tribulational rapture position is not discussed much here simply for the reason that it has been unconvincing to believers since it’s inception around the mid-20th century. To be sure, this minority view has had its proponents in the past such as Gleason Archer, Norman Harrison, and J. Oliver Buswell. But there is even disagreement between these individuals on important categories, particularly between Archer and Buswell. Today, the mid-tribulational view has mostly become defunct. In fact, I have been informed that the next edition to the popular rapture book by Zondervan, Three Views on the Rapture, the mid-trib view will be jettisoned and replaced by the . . . yes, you guessed it, the pre-wrath view! To be sure, this is not to suggest that the mid-trib and pre-wrath positions are similar or variations of each other&#8212they are not. If anything, it is the pretrib and mid-trib that have affinities with each other; and the pre-wrath and post-trib with each other.
Post-tribulationalist Douglas Moo argues against the mid-trib rapture error that the saints experience persecution during the first half of the 70th week of Daniel,

For Daniel 9:27, the text that most clearly delineates the sequence of events in the seventieth week, explicitly states that it is only at the mid-point of the week that the Antichrist begins his persecution of the saints&#8212during the first half of the week, he is in covenant relationship with Israel. Similarly, Paul indicates that the evil of the Antichrist is restrained at the present time but that restraining will one day be lifted, at which time the Antichrist will exalt himself above God and demand worship in the temple (2 Thess. 2:1-10). A comparison of the texts reveals clearly that this is the same event predicted by Daniel for the mid-point of the seventieth week. With this picture the Revelation is in complete agreement; the thirteenth chapter portrays the Antichrist as the active initiator of persecution against the saints. Even the Olivet Discourse hints at this by commanding the saints to flee from Jerusalem only after “the abomination of desolation” is set up in the temple. The point, then, is that Scripture consistently portrays the first part of Daniel’s seventieth week as a time of relative tranquility for the saints; it is only at the midpoint of the week when the Antichrist asserts his authority that the “wrath of man” against the saints becomes evident. It is this outbreak of satanic activity that makes the midpoint of the seventieth week significant. p. 166