I love your quilt. I wouldn't try adding to the quilting; it would be hard to add without changing the look.
I think the slight crinkle is beautiful, but if you really don't like it, you could try ironing it. You should be able to get it very flat. You said you like the back; could you show us a picture of it for reference?
Since you wanted to gift it, I would definitely go ahead and do that. Trust us all - it's gorgeous! The recipient will love it, and not think twice about the crinkling. Another option that has worked for me in the past is to put it in the closet for a couple years. Things that are horribly disappointing sometimes become much better after some time, when your original vision isn't as firm in your memory. Then you can appreciate it for the beauty it has, rather than comparing it to some image of what I wanted. I think it's truly lovely just as it is.