I think 4 weeks is plenty of time for a full itinerary in Western Turkey. Here is one approximate itinerary--I have left out Quanos because I don't know where it is or what you plan to do there, so I couldn't factor it in.
Istanbul--seven days.
Bursa--one day.
Travel back to Istanbul and flight to Izmir and then travel to your hotel base for Ephesus--most of the next day.
Ephesus--two days (add one day if you want to visit Sirince or other Aegean ruins like Didyma, Prietus or Miletus).
Fethiye--two days.
Mediterranean coast between Fethiye and Antalya--three days, including time in Dalyan, and leaisurely stops along the coast such as Kas, Kalkan, Demre (Lycean tomb, St Nicolas church), Cirali (unspoiled beaches with Byzantine ruins, turtle hatchings) and Patara (long, golden sand beach.
Antalya--two days (Kaleici old walled city, archaeology museum).
From there I would travel inland:
Konya--one day (historic mosques, Mevlana tomb and museum, Islamic culture).
Cappadocia--four days (hiking, the caves, dawn hot air balloon ride, Goreme open air museum). On the road between Konya and Cappadocia, stop at one of the preserved caravanserais and contemplate the old Silk Road).
After Cappadocia, I would travel to Ankara next:
Ankara--one day (Museum of Anatolian culture, Ataturk mausoleum.
Overnight train back to Istanbul.
Back to Istanbul before leaving Turkey.
This itinerary is three weeks total and I think easily doable and not a forced march at all. Add in Quanos and additional time along the way for the things you like to do and you have great tour of Turkey.
One thing you might consider adding is Pamukkale between Ephesus and Fethiye--there are excellent ruins there at Hieropolis and at Afrodesias on the way (and the ones at Afrodesias are much less touristed than those at Ephesis) and the travertines at Pamukkale are a unique experience. That would be worth an extra day.