Did Ellen White connect the Muslims with end-time events?
Besides one paragraph of historical reference in the appendix to The Great Controversy, I could find only one paragraph in Mrs. White’s writings that even mentions what we today call Islam. Here is the paragraph:
The Saviour has said, “He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him.” He says again, “And this is life eternal, that they might know thee, the only true God, and Jesus Christ whom thou hast sent.” Mohammedanism has its converts in many lands, and its advocates deny the divinity of Christ. Shall this faith be propagated, and the advocates of truth fail to manifest intense zeal to overthrow the error, and teach men of the pre-existence of the only Saviour of the world? O how we need men who will search and believe the word of God, who will present Jesus to the world in his divine and human nature, declaring with power and in demonstration of the Spirit, that “there is none other name under heaven given among men, whereby we must be saved.” O how we need believers who will now present Christ in life and character, who will hold him up before the world as the brightness of the Father’s glory, proclaiming that God is love! (The Home Missionary, September 1892).
That’s all I could find. It seems that Mrs. White did not address the issue in the way you asked about.