Members of the LDS tradition are often very open to prophets and revelation, and they prize strong families and clean living — all of which resonate with Islam. Islam, too, is built on prophethood: God sent messengers to every people across history.
Where Islam invites reflection is on the nature of God and the close of revelation. Islam teaches that God is one and utterly unlike His creation — without body or offspring, with nothing resembling Him (Qur'an 6:103, 42:11, 112:1-4) — and that He completed His guidance through His final prophet, Muhammad (peace be upon him), preserving it in the Qur'an so that no further scripture is needed (Qur'an 33:40).