Scaling shape parent object without scaling line thickness?

I've made a complex multi-shape prefab which all pieces are nested within a parent, and I would like to be able to resize/rescale on "drag". As I'm writing this I just discovered "Coordinate" scaling mode (silly me).  But this still doesn't work as I wish, since the child shapes are not technically being rescaled locally.  What would be the best way to approach this? I have a lot of child shapes, so I don't know if it would be efficient to rescale every child.

I would love to be able to create the shapes by code. It would made my scaling issue "scaling" much easier, but it seems more complicated and I'm not mentally ready to tackle that challenge. :|