I have a quilt like that.. It has every kind of fabric and was put together with no thought of matching seams or color.. it's just an old fashioned quilt made from whatever was there at the moment..
I decided that I would finish it and then use it on the ground for a picnic blanket.. But it grew on me. It's not perfect, but it does reflect what my grandma had in her scrap bag. Now instead of using it on the ground, I keep it tucked away to pass on down to my kids and grandkids.
There won't ever be another one like this one, and there won't be anymore from my grandma, so it's special... it just took me a bit of time to see it's beauty.
I say go ahead and finish it up.. in the end you may find you've grown very fond of it after all!!