I find this completely normal, but also shortsighted in a way. A more strategically autonomous and assertive EU wouldn't blindly follow US' follies (cf. Iraq), but that doesn't mean it won't side with the US for a just cause (cf. Ukraine). The democratic values in the US, Canada, UK and EU are too similar for a complete strategic divergence in policies. Therefore we'd get a more strong, integrated and assertive EU leading the way in many areas trade, manufacturing and regulations-wise, that still collaborates with US and friends when it makes sense and the cause is just (so not in invading Iran on imaginary pretenses, but if China invades Taiwan brutally à la Russia invading Ukraine, probably).