Hi, I (firstly) want to introduce myself as I am a newbie on your forum. I have sewn for 35 years, and in the last two years have really taken to quilting. I do own an older LA in which my greatest fascination is with stitching free hand whole cloths. However, I do make quilt tops and quilt them, and my favorite is paper piecing.
On this quilt top I do see the unintentional swastika. You are concerned about the design and your mother's feelings so that is what is important, and why it is important to you to change it. I would do the same as recommended by others and gently open the seams to fix. To keep the block or pieces from becoming distorted, you could spray the block with light starch and press, then open. This will help the pieces keep their shape while you manuever them to new spots. Look forward to seeing the revisions!