Greece should not get entangled in Anatolia. What many people forget is that even if it had won in the war, it still would not have got all the territory it occupied during the military operations, but just the Smyrna zone, perhaps a little expanded. Take a look at the map: it is indefensible, lacks any strategic depth, and would not be economically viable once cut off from its hinterland. Politically, it would mean almost constant friction with the Turks, and heavy military expenditure. If you don't want Greece to end up facing a security situation like that of Israel, keep out of Anatolia.
The best thing IMO (i.e. the solution most likely to produce lasting results) would be to settle on the lines of "Greece in Europe, Turkey in Asia, the sea between". Greece keeps Eastern Thrace (the fate of Constantinople will be decided by the Great Powers, probably some sort of international protectorate), evacuates Smyrna and exchanges populations in a more orderly fashion (very important bonus if the departing Greeks are allowed to liquidate their properties). If a major military disaster along OTL lines is avoided, the Italians will most likely keep their post-war agreements and hand over most of N. Epirus and the Dodecanese except for Rhodes. This leaves a Greece stretching from the Black Sea to the Adriatic, much stronger without the economic and demographic disasters of OTL 1922/1923. It will still leave the tension between royalists and republicans, but without the added socio-economic turmoil, the republicans will keep the upper hand.
Keep the country out of WW2 (if it is stronger militarily and less divided internally, Mussolini will probably avoid attacking), and it has a very good chance of prospering far more than OTL.
The best thing IMO (i.e. the solution most likely to produce lasting results) would be to settle on the lines of "Greece in Europe, Turkey in Asia, the sea between". Greece keeps Eastern Thrace (the fate of Constantinople will be decided by the Great Powers, probably some sort of international protectorate), evacuates Smyrna and exchanges populations in a more orderly fashion (very important bonus if the departing Greeks are allowed to liquidate their properties). If a major military disaster along OTL lines is avoided, the Italians will most likely keep their post-war agreements and hand over most of N. Epirus and the Dodecanese except for Rhodes. This leaves a Greece stretching from the Black Sea to the Adriatic, much stronger without the economic and demographic disasters of OTL 1922/1923. It will still leave the tension between royalists and republicans, but without the added socio-economic turmoil, the republicans will keep the upper hand.
Keep the country out of WW2 (if it is stronger militarily and less divided internally, Mussolini will probably avoid attacking), and it has a very good chance of prospering far more than OTL.