A family of Microsoft word processing software products for creating web, email, and print documents.
Quick Parts must be stored in templates.
Normal.dotm is not designed to be shared. It should not be shared!
You can create and save a new template. If it need not have macros, it can be a .dotx template rather than a .dotm template.
You can copy / move your quickparts to that template using the Organizer Enhanced Tools from Greg Maxey's site. Building Blocks & AutoText
No idea why there would be formatting changes unless the quick parts were to be stored in the Startup Folder and were not there or were duplicated in a different location.
Quickparts are normally stored in:
the Quick Parts file (name and location depends on Word Version)
A global template stored in the Word Startup Folder
the Normal.dotm file
a document's attached template
A template holding quickparts can also have QAT modifications to access those quickparts. You would want to make sure that these modifications were stored in that template.