You said direct democracy is subject to populism. Indirect democracy is too - cf. President Trump
Yes. But with indirect we usually have counteracting forces. Unless, of course, you also have a moronic voting system like yours where you only have two parties which matter.
In that case you're properly fucked anyway.
When the stars threw down their spears
And watered heaven with their tears:
Did he smile his work to see?
Did he who made the lamb make thee?