Ibrahim Al-Amin said:
What is the LDS stance on non-LDS members and salvation? Do you have to be Mormon to get into heaven? What about other Christians? Jews? Muslims? Non-Abrahamic faiths?
What happens after death according to LDS beliefs is more complicated than heaven vs. hell.
When we die, we will spend time waiting for the resurrection as spirits. This is referred to as the Spirit World. Here, anyone who has not accepted the gospel of Jesus Christ in mortal life, will have a chance to hear the message and either accept him or reject him. For those who accept the gospel, they will receive all the ordinances necessary for salvation through the work that is done in LDS temples (you may have heard of baptisms for the dead).
Eventually we will all stand before Christ to be judged for what we have accomplished throughout our life. Everyone will be resurrected and given a "degree of glory," except a small group called the Sons of Perdition. These are people who had a perfect knowledge of Jesus Christ and then rejected him and fought against him. They will end up spending eternity with Satan. Most LDS members believe that having a perfect knowledge requires some sort of personal vision of Christ; therefore,
very few people will actually end up in perdition.
The three degrees are glory, which are associated with the resurrection, are compared to the sun, the moon, and the stars. You do not need to be Mormon (expecially since "Mormon" is an earthly term, not an eternal term) to receive one of these degrees. Everyone, regardless of religion in this life, will be resurrected and receive a portion of God's glory. It doesn't matter if you are Christian, Jew, Muslim, Athiest, Buddist, or Hindu. You're still a child of God.
Each degree of glory has a "kingdom" associated with it. We refer to them as the Celestial, Terrestrial, and Telestial Kingdoms. The Celestial Kingdom is the highest of the three. Those who enter into this degree of glory will receive "all that the father hath" and will become like God. They will also remain a family unit for eternity. Those in the celestial kingdom are they who accepted the gospel of Jesus Christ, lived according to this gospel, and made and kept all the necessary covenants with God.
So, in answer to your question, salvation is a gift given to all, regardless of religion in this life. The degree of this salvation is dependent the degree of commitment to Christ. You do not need to be Mormon to go to heaven and members of other religions will be judged according to the amount of knowledge they had in this life.
I hope that answers your questions. Let me know if something isn't clear.