Brazil has not started in any ideological battle regarding this. It has developed a national technology, and it allows other payment systems to coexist peacefully in the spirit of honest competition.
The ideological and geopolitical provocations comes from the US. The government is merely defending itself, and being decisive about our sovereignty is not an act of aggression. It's just good statesmanship.
The phrase "PIX is ours" wasn't even directed at the US. It was promoted because a previous Brazilian president tried to attach is personal name to the technology. It was later adopted in that defensive posture, but it was never about fostering any grievances with other payment systems.
Data centers are a commodity, and the US gets tremendous revenue from Brazilian businesses that use it (fourth largest AWS customer location). It's a symbiotic relationship, and there are other countries able to provide computing power if we need to cut ties with it. If that happens, businesses can rent those from somewhere else.
You underestimate our ability to handle these things. Watch us.