Cultural exchange has always happened and will always happen. From Greco-Buddhism to Japanese Salsa bands to Europeans eating potatoes. No major culture has developed without adopting ideas from other cultures. When the ideas of different cultures blend, they inevitably change and take on a different role. This is not colonialism, it is part of the natural process of human society.

Your last paragraph holds the answer: Work (in whatever small way) towards a world without hegemonic dominance. Trying to stop a process as natural as the flow of ideas between peoples is futile distraction from that goal.