Mass reorganizing of SiteBuilder nested Site Categories

I'm working with approximately 10,000 Site Category records that are structured as below:

• Parent Category X
  • Fractional X
    • 1/2"
      • [1/2" items]
    • 1/8"
      • [1/8" items]
    • 1/64"
    • 1/32"
  • Numerical X
    • A
    • Z
    • B

There are many different Parent Categories like the above.

My issue is with the innermost categories like "1/2, 1/8, A, B" not being displayed in alphabetical or increasing numerical order like this:

• Parent Category X
  • Fractional X
    • 1/64"
    • 1/32"
    • 1/8"
    • 1/2"
  • Numerical X
    • A
    • B
    • Z

From what I can tell, the only way to reorganize them is by manually rearranging the Site Category on hundreds of records. The other thing I tried was modifying the Category List Layout to Sort By: Name, rather than Sequence. Although this does change the order of categories, they still don't go in Alphabetical order.