Babur isn't a crazy burn-them-all zealot, he's at least somewhat reasonable. He also values KalMea's trade and military support greatly. That being said, doing nothing undermines the Ajdar Faith, and by extension undermines Tin's respect and his respect as Sultan.

If Tin had its way KalMea would simply execute/arrest all the extremists, starting with their leader.

Babur might be urged by advisors and nobles to demand that KalMea does this (or maybe even to tell the Ajdar in KalMea to rise up everywhere and kill the Kal's Passion people) but he won't do it. Instead he'll just clench his fists.