I think there are two main reasons why we don't see this:
1) The more instruments you add the harder and more time consuming this is. For every instrument (guitar, keyboard, bass, etc.) you need to find a qualified musician, then have the members of the band create their own musical adaptations of popular bhangra songs since that sheet music isn't available, practice as a band since it's not just a singer and dholi, and then of course practice with the team. This entire process is so much harder than just a singer/dholi, and any live team can attest to the difficulty of doing just that. Plus if you're looking for more intricate instruments (sarangi), it's hard to find someone actually trained in the instrument. I played violin for 16 years and tried to learn sarangi for a few years, it's not an easy task.
2) None of those instruments are required for a traditional live set, so it probably doesn't even seem worth putting in all the time/effort when you really only need a singer/dholi to have an authentic performance.
That being said, TBT is the only team I can think of who has successfully done a live set with a full band. They had a guitar, bass, harmonium, and maybe a few more that I'm missing. IT WAS AWESOME. Their live performances are still some of the best memories I have of watching bhangra live, the music was absolutely beautiful and dancing was equally as good. United Bhangra also had some additional instruments from what I remember, though definitely nothing close to the full band TBT had. I believe they had ~2 instruments with the singer/dhol. I saw them perform at VIBC and Bruin and it was amazing to listen to/watch. Both TBT and United did this during the live bhangra phase where almost every team in the bhangra scene had some sort of live segment.
I would LOVE to see a team come out with a full band, but the live teams out there today are focused on what they do and how they do it. Bring back TBT part 2!