You need aggressive political will to go with your aggressive intelligence operation. And most country would need both to stay above the water.
The issue with escalation is that you can try to outdo your opponent just for the sake of outdoing it, the issue is always going to be, to what end?
I am not saying Pakistan don't have the capability to fend off a single strike from India, but the crux to the matter is that, if this is not stopped now, for better or worse, this is going to give the Indian command a lot of imagination.
Those "you need to chill" phone call is probably just one of the issue Pakistan is facing, why lead the engagement deeper with more aggressive stance, as you said, if there exist a rational actor on either side "to be a better man" then this escalation itself probably wouldn't happen to begin with. The fact to the matter is the unstable actor that leads to the result we are seeing now, so at this point, how do we go back on track?
I don't think pleasing is going to work, this would just be an excuse until the next time India do something similar or something more serious, how many "bro, chill" phone call can you take? The rebalancing, IMO have to come from within Pakistani authority, for all that they do, India thought they had altered the status quo, and they are not going to come back down unless Pakistan makes it to. The issue here is what India scare of? In the word of Bull Halsey, if you find your enemy weak spot, you need to hit fast, hit hard and hit often.