No, I think Latin America has more in common with itself. Tons of countries in Asia and Africa (basically every country) has significant and sometimes complete fluency in a European language, and are Christian, but not considered Western.
Not to mention that many Latin American countries and subregions have huge cultural influences from regional Native American cultures and enslaved Africans
Latin America has never received economic benefits from the Western umbrella in the way that the EU states have. And they probably never will, and their racial origin is the most major reason for this. They are not Western.