You call others illogical and then you come up with this stupidity. Iam sure you know the difference between an idol/statue and a church/synagogue.
Destroying the worshipping places of the non-muslims is not from Islam. Muslims have never done that, nor are we commanded to do so. But destroying idols and statues when they are in public, is from this Deen, as proven by the Saheeh hadith ive quoted.
A perfect example which iam sure is still fresh in your memory, is the case of the Bamiyan Buddhas.