One had to be tahor to enter the Beis ha-Mikdash. No one has been tahor for almost 2000 years. That is why the gedolim have consistently banned Yidden from entering the Beis ha-Mikdash, and why many areas of halacha impacted by the laws of tahorah/tumah are generally not observed and studied only as a highly specialized topic.
And even if taharos weren’t enough, trying to start a war with the Muslims is not in the interests of the Yidden in Eretz Yisrael.
Note that even if a dog is insane (i.e. mentally ill, even by dog standards), it remains unwise to kick him.