Almost zero chance of any nuclear attack or dooms day. Leadership mettle was tested before in much more favourable conditions, they didn't gave the go ahead that time, with economy in free fall I don't think they will bother to fight unless China force us to fight by attacking even in that case it will be a small conflict before UN designated cease fire, anything can happen in that short conflict.Fat chance of that happening.
Anyway if war happens, be ready for a blitzkrieg on POK and on Paxtan army in see first shoot first mode. Once we are done with them in say - a week then its all hands towards eastern border. (Ideal scenario)
I believe Indian leadership will see all options exhausted including missile attack on coastal areas of china and a proper sea battle before considering use of nuclear button. Then also its a 'very' distant future.
Its gonna be conventional with full use of Navy. Time to test mettle of our leadership and our armed forces.
Pakistan on the other hand can do something stupid considering their suicidal tendency but I doubt they will be taken to task right now, maybe down the line, few months later when this front calm down.