and had a war with the now extinct terrorist(LTTE) which plagued Sri Lanka, they lost that too.(Sri Lankan Army got rid of them on the 19th of may 2009, not the Indians)
no india won't win anything.
definitely not a world war.
it should be noted that INDIA AND PAKISTAN are not fighting anymore. they are enemies by definition and both the countries try to ruin the others image, but are not ACTIVELY fighting anymore.
Indian army came to Sri Lanka to stop the Sri Lankan government from getting rid of the LTTE, who were on the brink of extinction back in the latter part of 1980s. They didn't want the Sri Lankan army to get rid of the LTTE for many political reasons.
But that policy came to an end when the LTTE assassinated their prime minister Rajiv Gandhi.