Pakistan is not allying with Iran. It is in an emerging block with Saudi Arabia, Turkey, Qatar and Egypt. Since Pakistan and Turkey border Iran they are very sensitive to destabilizing events in Iran that could spill out as massive refugee flows, separatists gaining power on their shared borders, damage to their linked economies and so on. So the block as a whole is advocating to ease tensions. Actually allying Iran would damage their relations with block members, particularly Saudi Arabia which supplies massive amounts of money and cheap oil to Pakistan, to say nothing of the US. All they would get is the military might of a bombed out country that does not border India and that’s a poor trade.

India on the other hand is in an emerging block with the UAE, Israel, Ethiopia and Greece. Of those Israel is obviously extremely against Iran and the UAE’s relations with Iran have crashed amidst the bombing. The crippling of the UAE’s exports other than what can bypass Hormuz is bad for India since they’d just recently struck a massive gas deal with the UAE. So certainly they will be positioning more aggressively against Iran but I would expect this to be a naval and sea affair and not involve Pakistan. If India ever presses Pakistan too hard they open themselves up for problems with China which does not want India to become too powerful as they have border disputes. China was recently confirmed to have provided Pakistan support in the earlier air fighting.