Why would anyone see these countries as being one another's enemy, though? They are battling to be the leading superpower in the world, but they are not enemie

Why would anyone see these countries as being one another's enemy, though? They are battling to be the leading superpower in the world, but they are not enemies: annual trade volume between them certainly attests to that. In that sense, you can also look to extract value from either side. In the US, I'd definitely turn to China's depictions of US events to understand how it looks from another superpower's angle: you can still take that critically and not at face value, but it might be refreshing in that it's not polarised in the same way (Republicans vs Democrats).