In many Western countries we have fought for individual rights. Does this conflict with Buddhism?

In the West, yes, there are lots of efforts to protect personal/individual rights and freedoms, to protect individual rights. 

This is something that we need to understand, so that it is not confused with selfishness and self-centeredness. There is the possibility in misunderstanding freedom and individual rights, they can become selfishness and self-centeredness. 

It is important to distinguish between the two; we need to understand each as being separate and distinct: what is self-centeredness and what is protection of rights of individuals.

HH, 17^th Karmapa
Ogyen Trinley Dorje

From Kamashila
Short-Ngon-dro teaching
Germany, 2014