According to WTBTS/JW dogma, Armageddon will be triggered via "an attack on Babylon the Great" (every religion except J.W.'s) by the world's governments, thereby causing a "greater fulfillment"of the great tribulation which Jesus described at Matthew 24:21.
According to the Bible, the great tribulation of Revelation 7:14 is a reference to the tribulation spoken of earlier at Revelation 2:22 - one which is directed solely at corrupt elders/Christians throughout Christianity. No other religions are involved. Just as 1st Peter 4:17 says, "The judgement starts first with the house of God."