India used the low enriched Uranium fuel reactor donated by Canada to breed plutonium and make nuclear bombs in 70's. Before that nobody thought it were possible to make nuclear weapons with low enriched uranium reactor to breed plutonium. Nonetheless India is a mature nuclear power, the world should really be worried about is pakistan as a nuclear state.
Well, in the recent skirmishes it seems that Pakistan was actually the more level headed of the two. India has been agitating about Kashmir due to local elections coming up, and BJP wants to gather the 'tough on Pakistan/national security' votes.
Well, that's after you conveniently take away the fact that Pakistan essentially started the latest skirmish. You really can't blame India for responding to the murder of their people on their soil, can you?
The difference is (a) government control over the army and (b) the role of paramilitaries... It just means that pakistan has more vectors for escalation. Populist flag thumping is a vestor in both countries.