Kargil strife (not a war!) is the biggest fraud let loose on the gullible people of India by the so called nationalitic party of India (read BJP)
If you remember the circumstances of those tumultous months (April and May, 1998 when ABV was booted out by just one vote that of Jayalalitha?) when the country was going trough instability?
BJP needed a very strong reason to come back to power. What could be more potent than Kargil issue? Even though, NDA govt knew about the breach at Kargil, they never took action till such a time when they needed Kargil strife.
Kargil was used for a political purpose of coming back to power. That is the reason they had to stop the strife at any cost before October, 1999 when the elections were to be held.