I support this 100%, and have said nearly these exact words in the past. However, the concept of Pax __ applies to the entire "world." Even the USA's supposed enemies benefited from the rules based global order, a lot of the time. If Pax Europa is to be a thing, it needs to have effects beyond Europe's borders. The democratic European way, surviving and thriving, is the last hope for a bright near-term future for all of humanity. I truly believe this.
note: I edited my gp comment prior to seeing your response.