Would you judge those local Muslims to have been inspired by Islamic doctrine?
Unquestionably they believe they are inspired by Islamic doctrine - specifically the doctrine that dhimma (subordinate non-Muslims) are forbidden to erect new places of worship or even to repair old ones that have become dilapidated.
More generally, they are inspired by the supremacist notions which underpin the Islamic law on minorities. To give a couple of additional examples:
Most churches and monasteries in Egypt have had a mosque build adjacent or directly opposite. (There are exceptions, particularly in Cairo, but it is the general tendency in Middle and Upper Egypt where most Coptic Christians live.) The purpose is explicitly to assert the supremacy of the mosque over the church and to ensure that the call to Muslim prayer can be broadcast loudly from the loud-speakers of the mosque directly over the church.
A common feature of attacks on churches is that Muslims will use firearms to shoot at the crosses above the dome or towers of the church. The contention is that the Copts are showing arrogance and contempt of Islam by raising their crosses high.