President Gordon B. Hinckley has consistently advocated dialogue and mutual respect in interfaith relations. He has admonished members of the Church to cultivate “a spirit of affirmative gratitude” for those of differing religious, political, and philosophical persuasions, adding that “we do not in any way have to compromise our theology” in the process. He gave this counsel: “Be respectful of the opinions and feelings of other people. Recognize their virtues; don’t look for their faults. Look for their strengths and their virtues, and you will find strength and virtues that will be helpful in your own life.”

Elder Russell M. Nelson quoted a public statement issued by the First Presidency and the Quorum of the Twelve Apostles in October 1992, calling upon “all people everywhere to re-commit themselves to the time-honored ideals of tolerance and mutual respect. We sincerely believe that as we acknowledge one another with consideration and compassion we will discover that we can all peacefully coexist despite our deepest differences.”

Lastly, In a recent talk by President Boyd K. Packer, he stated, “Church members and Muslims share similar high standards of decency, temperance, and morality. We have so much in common. As societal morality and behavior decline in an increasingly permissive world, the Church and many within Islam increasingly share natural affinities.”
Salam,
Rachel

My experience in southern France at the time the church put restrictions on converting Muslims was that the convertee had to have legal residence in France so there was no chance of a forced return to the country of origin (usually Algeria). Although I spent a lot of time “teaching” Muslims(actually they usually were trying out their version of the first discussion to convert us) I never saw a practicing Muslim convert.

If they’re anything like Protestants, it won’t matter how righteous your people are – the theology is going to be a deal-breaker.

Whereas Jews on the other hand, almost couldn’t care less what odd stuff you think about the afterlife as long as you live a moral life.

So the answer to your question is that of course Muslims would reject these particular aspects of LDS thought. But they would also and similarly reject the classical dogma of the Trinity. You are quite right that Muslims are perhaps the most rigorous of monotheists.

I’m on the public affairs committee of my stake here near Chicago (I’m the community relations guy), and I’ve got to tell you that the public affairs people in our region are simply awesome. I am so impressed with these brothers and sisters. At the highest levels (above my pay grade) they know Father Michael Pfleger, a controversial and activist Catholic Priest in Chicago. They have, as I privately told you, arranged for joint Muslim and Mormon youth activities in Buffalo Grove. They are very open and desirous of establishing relationships of friendship with other faiths.

So I would suggest you leverage the established infrastructure of your local stakes. This is exactly the kind of thing your local public affairs people should be involved in and should embrace.

The flat out stated reason for our policy was the threat of violence (as demonstrated) from the Islamic community based on the death penalty for conversion found in Sharia law.

My brother in law served in Southern Russia and had similar teaching restrictions