Hey, Janna! I have to confess, I don't know why I decided to read When Darkness Turns into Light in the first place. You broke two solidly bound couples, and this isn't my usual brand of poison.
That said, I was enthralled by the way the feelings between Jasper and Bella evolved from a deep friendship to a new love. And by Jasper attitude toward the obstacles in his way. He worked his lack of control over his bloodlust, managed intimacy with Bella... And that right away. Edward, at least as a first reaction, would have seen the obstacles as insurmountable, as a proof of "I don't deserve Bella, I'm a monster, I will hurt her" and blah-blah-blah. And, since this Edward was stupid enough to really stay away... His loss.
There's also the part where he sees Bella in a more equalitarian way. I think the next passage sums that well:
'He was willing to spend however long it took with me until I felt completely comfortable doing whatever it was I was learning. He never rushed me or helped until I ask him or until I reached the point that I was in over my head.(...) He allowed me to stumble and fall and that meant the world to me, because no matter what, I knew he would be there to pick me up and that gave me the courage to be fearless.'
A perverse part of me almost wish you would show us the occasion when they meet Edward again; to see him squirm seeing what his "strenght" (*cough*arrogance, stupidity, blindness...) made him lose. For no good reason. P-)
The lighter part wishes Bella and Jasper to resume their relationship with the Cullens, Alice in particular, and with Jacob. It would be good to see that, too.
To summarize, you are a writer good enough to make me like your story, despite my reservations against the theme. ;)