Just a few points.

1. The Spanish Inquisition was a state institution established by the Spanish monarchy and not by the Church.

2. Witches, at least in England, were hanged. Heretics were burned.

3. In medieval England, your chances if accused of witchcraft were quite good. An acquittal rate of 95%.

4. Laws banning witchcraft under pain of death, predate Christianity. Indeed when converting Northern Europe, the church granted protection against charges of Witchcraft. The 5th century Synod of St. Patrick ruled that "A Christian who believes that there is a vampire in the world, that is to say, a witch, is to be anathematized; whoever lays that reputation upon a living being shall not be received into the Church".

5. The peak in witch trials - "The Burning Times" - 1550-1650 - occurred after the Reformation, when the Church's authority had been weakened.

6. In countries like Italy and Spain, where the Catholic Church and its Inquisition reigned virtually unquestioned, witch hunting was uncommon.