I don't know enough about the background and history of what led to the coup. However, NATO has a democracy requirement, and members agree to uphold democracy and tolerate diversity. If the new regime is intolerant and restrictive and doesn't uphold these ideals, than Turkey's membership in NATO should be revoked.
Turkey's membership in NATO should not be revoked. The reality is that there is a fairly even faction of Turkey supporters versus non-supporters. While Turkey has been accused of many things, none have really been proven to rise to a level of causing a revocation to NATO. The reality is that Turkey's presence is strategically important.
Turkey should remain a member of NATO. The country has been a long-time ally of the United States and its European neighbors. Turkey is also a key ally in the war against ISIS; and a good hedge against Russian aggression in the region. Therefore, no, Turkey's membership in NATO should not be revoked.
The recent attempt by the military to overthrow the government in a failed coupe de tat should warrant revocation of Turkey's membership in NATO. When turkey shot down a Russian plane, everybody blamed Turkey but in the real sense Russia was to be blamed for not informing Turkey of their presence.