How would that work with representative democracy? With direct democracy that's pretty straightfoward: one could vote with conservationists on land policies, libertarians on drug policies, progressives on welfare policies, etc. instead of having to vote for a representative who probably disagrees wildly with at least one of those views.

> How would that work with representative democracy?

With PR there would be a larger number of viable parties, for example in the last Dutch election, 13 parties got elected.

> instead of having to vote for a representative who probably disagrees wildly with at least one of those views

With 13 parties you'd probably be able to find one which is reasonably close to your own views.

Having a larger number of viable parties doesn’t seem like it would help that much when your district is huge and gets one representative elected with FPTP.

This wouldn't happen, because districts would be multi-member.

For extra proportionality, have top-up seats (as used in Germany or Scotland).