You don't have to select (from your point of view) dysfunctional systems to make a point.
I feel as a world citizen but I am German; I know the system that was built after the bitter lessons of our history.
A proportional representation (with an x% threshold to limit the number of governing parties) is really key to preventing two large parties from dominating everything and becoming the only rivals with the resulting polarisation of the political discourse.
(Free higher education would then be the next step.)
We use the MMP system in NZ and it seems to work quite well, though needs a bit of fine tuning as currently you need 5% to get into a coalition and that is slightly too high.
Fixing first past the post voting is not some magic cure-all.