Now he wants to be known as ABE Shinzo as of this year.

Capitalizing the family name first is recommended here: https://www.languagemagazine.com/2020/01/23/japan-reverses-w...

I admit, it is confusing even for a Japanese speaker which one to me which is his family name or if I already need to flip the order.

The context is that too many people accidentally address him by his first name which is considered a bit embarrassing for polite society.