1.WI rather than abolish the caliphate, Ataturk just banishes the Caliph from turkey.
Or
2. WI the Caliph leaves turkey and refuses to except the abolishment and continued to style himself as Caliph.
Or
3. One of the Caliphate Conferences succeeds and appoints a Caliph.
What would happen and how would it effect Islam in the years afterwards