I want to point out that no marriage is beyond repair.  When the Lord is given first place in the home, there is no problem that can arise that cannot be addressed and mended.  The problem is that we very often count on our own abilities to make our marriages work out.  With that in mind, let’s look at your question carefully.

If I understand your question, you and your spouse were wed before either of you were believers on the Lord Jesus Christ.  It is hard enough for two believers to have a healthy marriage.  When the Lord is left out of the equation, it becomes much more difficult.  However, your wording makes me think that you, or both of you, have now come to the Lord.  You are not specific in stating what you mean by saying that you are ‘on opposite side of the kingdom’.  Perhaps you mean that your Christian beliefs are very different from each other.

Let’s look at the words of the Lord Jesus regarding divorce.  In Matthew 19:9 we read, “And I say unto you, Whosoever shall put away his wife, EXCEPT IT BE FOR FORNICATION, and shall marry another, committeth adultery: and whoso marrieth her which is put away doth commit adultery.”  Let’s also read 1 Corinthians 7:15, “But if the unbelieving depart, let him depart. A brother or a sister is not under bondage in such cases: but God hath called us to peace.”  These two are the only two reasons that divorce and remarriage would be acceptable in the Lord’s sight.  In the case of fornication or abandonment, it appears the Lord would accept divorce.  Notice that in neither one of these portions does the Lord demand divorce, but He does allow for it.

The importance in fighting for your marriage is shown in Malachi 2:16 where the Lord says, “For I hate divorce,” says the Lord, the God of Israel…” (NASB).  With that in mind, we realize that the Lord will work with us to have a successful marriage…if we will let Him.  You mentioned no abuse, so I assume there was none in your relationship.  I am amazed that you have been separated for ten years but have not filed for divorce.  Is it possible that you two still have a desire to stayed married to each other?  It seems that you are looking for scriptural answers and I hope I have given you enough to show that the Lord wants your marriage to work and He will lead you both into a scriptural marriage if you both submit yourselves to Him.

If your spouse is also interested in trying to salvage your marriage, I encourage you both to seek a good and godly marriage counsellor that can help you in your efforts.  The Lord is on your side in seeking to save your marriage.  Together, you two can give all your differences and problems to the Lord and He will lead you.  1 Peter 5:6-7 tells us, “Humble yourselves therefore under the mighty hand of God, that he may exalt you in due time: Casting all your care upon him; for he careth for you.”  (365.2)