Canada

Drawing a line on a map and saying Jews go this side and Muslims go this side

Which isn’t want happened with the said countries

To be a bit more constructive than what I wrote in my previous comment: ethnicity was very often defined using religion in the Balkans:

• After the Greek war of independence, Christian former Ottoman subjects renamed themselves as "Greek". At the Treaty of Lausanne, this went further and Christians in Anatolia were declared Greek and forced to move to Greece, whereas Mulsims in Greece were declared Turks and forced to move to Greece.
• During the "Struggle for Macedonia", adherence to the Constantinople Patriarchate made someone Greek, adherence to the Sofia Exarchate made someone Bulgarian.
• Bosniaks, Serbs and Croats share the same language. At the origin, the difference was pretty much religious and maps neatly to Muslim, Orthodox, and Catholic.

The only Balkan people that seem to have somehow miraculously overcome the religious fragmentation of ethnic identity are the Albanians.