After considering the as yet unfulfilled prophesy of Psalm 83 it is generally recognized that that will be a victory by IDF over the surrounding Arab (Islamic) states.
However, in view of Ezekiel 38 when Israel defeats the remaining Islamic countries and Russia, God is given the credit for the victory by supernatural intervention.
In those circumstances I would have to conclude that the rapture will occur at the time of Ezekiel 38 as it will be the time when God again calls the Jews "my people"...
and supernatural things begin to happen in rapid succession after that event.
Although to those still living on earth, the final END of Islam will seem to usher in a time of global PEACE & PROSPERITY.