Can Mormons not date non-Mormons even if the girl is willing to convert when she marries and goes to stake dances and has a lot of Mormon friends?

Answer 1

Mormons can date whomever they want, but are encouraged to date other members of the church. Dating can lead to marriage, and Mormons believe that if you marry in the temple, you can be sealed to your spouse for eternity. However, both individuals must be members of the church in order to be sealed in the temple. If you are willing to convert, why wait until marriage? If you have a testimony, join the church now, and then you don't have to worry about not being able to date Mormons because you will be one. :)