The SM-2 capabilities are limited. Maybe a salvo of ESSM missiles will do the job. But, by the time the ESSM is fully operational, IN will start operationalizing the hypersonic version of Brahmos.
The SM-2 is simply too slow to react to a supersonic missile, especially against something that is continuously flying at full power like the Brahmos. The Brahmos has a Ramjet engine while the SM-2 has the old solid fuelled rocket engines. The difference is simply too much. The ramjet engines are always powered while the SM-2's engines reach full speed only in the final phase of their flight.
Anyway, you never know what can happen in a war. A bunch of jags "sank" the Nimitz during Operation Malabar in the Bay of Bengal. So, a MKI or even a PAKFA reaching its target cannot be ruled out.
The missiles on the jags were the older generation subsonic missiles. Also, the exercise saw the use of 3 aircraft carriers a lot of supporting vessels and 200 aircraft. So, I don't think a carrier battlegroup is as strong as you imagine. You need to get lucky just once.