Being in the "better finished than perfect" crowd, I wouldn't unsew it. As others have said, it really does depend on the type of batting. I've never used a 60/40 wool poly batt, but the puffiness of polyester is definitely more difficult to quilt on a large quilt.
For the future, make sure you tape down the quilt backing to the floor (or other large flat space) & smooth out all the wrinkles. You don't want to stretch the fabric or it will relax & wrinkle once you remove the tape. Likewise, you need it a tiny bit tight to remove all the wrinkles. Start pinning in the middle & pin in quadrants. Quilt in the same manner. Yes, that means starting in the middle of your chevron row, but it really does help push those waves out to the edges as you quilt. And maybe try switching to either a 100% wool or 100% cotton batting & see if that helps. On top of that, polyester isn't breathable so it gets really sweaty to sleep under.
All that said, there's no reason to fear the vast majority of quilt shops. They are typically really nice people who are eager to help quilters of all levels. I know what it's like to be so nervous & protective of early attempts at quilting, but honestly I found the quilt shop people to be very supportive of me & I've truly learned a lot from them.