1. Your re-definition of the abomination of desolation from Antiochus Epiphanes to Mohammad.
2. The abomination of desolation is clearly shown in Revelation to be a world leader/dictator.
Also, desolation literally means to make soiled, or dirty. - The word has been twisted in the 20th century to be a synonym for bleak.
Furthermore, if Mohammed and his Muslim armies of fanatics, not yet extinct by any means, are not world leaders/dictators, what then ARE they? The Antichrist (Mahdi) is just a future epitome of fanatical demonic Islam...