What happened to change you to Jesus and not your wife,philly ?
That said, it seems your wife's faith is having an effect on things. There is Scripture that does say that an unbelieving spouse is saved by the believing husband.
I would pray for your wife, that she can see Jesus through you doing things in your life. And, if God does want you to split, you used the word 'amicably,' that is good, make sure that your wife sees that you are just following Jesus and that her leaving is her decision, it is not yours, and, you want her to find the joy of Jesus and will pray that for her for all the days of her life left, subconsciously and consciously, for finding Him for you has made your life so different, so free, so wanting to love others, first, and, giving to yourself last. The Lord leads you now, and, 'Honey, I am sorry of this decison of yours, I love you, but not with that kind of love you think of, only, but of Love that God put in me when I chose Him.
Saying these words can have an effect on her if you pray they can and then pray always in prayers, 'Thy will be done, Lord, not mine, but thy be done.'