No. Junta is really unpopular. They are even unpopular with Bamar majority. Also, Junta is quite friendly with China as well.
India doesn't want to be seen to helping a really unpopular dictatorship and make itself a enemy of their people. Also, its not as straightforward as Buddhists fighting Christians/Muslims.
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Burman/Bamar (main ethnicity) were fighting with all the other ethnicities since the beginning (as they have been trying to force Burmese language since beginning), but after the recent coup, many Bamar people are also pissed with Junta since Aung San Suu kyi was actually popular and also there is a huge under current of democracy and Burmese economy actually grew a lot during democratic period, since sanctions were removed.
Yellow (Chin) people are related to Mizo and Kuki, thats the one that are coming as refugees and those are the people who now control border post.
Rakhine/Arakanese (bright purple on coast near bangladesh), were once trained by India in Andaman Nicobar, but we disposed them.
25 years ago this week, India’s army crushed an incipient Rakhine separatist force in the Andaman Islands. In western Myanmar, memories of the incident linger.
thediplomat.com