Probably not unless the person is willing to accept the Gospel in his life. I always had the goal to marry in the Temple and even though the person may be great, I don't think I could be happy being married outside the covenant.
I thought about that before when I was still single, but I knew the fact that they are not Members would prevent me from being 'deeply' in love since I would not be able to take her to the temple.
The reality behind love is that it has varied and complex levels.
you can be in love with a person when you are sixteen
that doesn't mean that the people you both become over the next ten years will be in love with each other when you are twenty-six.
when you make a commitment such as marriage, and you plan to remain in that commitment for your entire life (Let alone eternity), then the marriage must be based on the things that are fundamentally going to be a part of your entire life - not hormonal, emotional, or otherwise superficial reasons - otherwise, the love you started with will only dissipate over time, which leads to a broken home.
a marriage should never, never be based on something you 'hope' to change in a person. Doing so is not only ignorant, but harmful. How would you feel if you realized that your spouse married you out of love, but gradually revealed their plans to convert you or your children into catholicism or judaism? You probably would not only refuse to change your faith, but you would probably be hurt and feel betrayed.
if you enter into a marriage in pure honesty together, commit to an earthly till-death-do-us-part relationship, and both have enough pure love and respect for one another that you can openly talk about faith without the other feeling condemned, then it is possible for such a relationship to succeed. But you must take into account your own beliefs. Would such a relationship (I. E. Not being sealed to your spouse, not attaining the highest degree of glory, not entering exaltation, etc) satisfy your own spiritual goals? Church doctrine does not teach that one will be lost to god for not entering into the covenant of eternal marriage; it does teach that this covenant is necessary for exaltation.
one has the liberty to make such an eternal decision for themselves - but the decision should be based on what you want for yourself, and not on wishful thinking in regard to what a person may or may not one day become.
That is true that you could marry them and the convert them, but what if they never converted, they would just pull you down. Besides it is a commandment that you should marry inside of the covenant. Just look at what happened to Sampson when he didn't.