Do six schools of Indian Philosophy accommodate each other or are they watertight compartments each to the exclusion of other?
Historically, Indians had always accepted a diversity of traditions. Unfortunately, in the Kali Yug, tolerance is at it's end.
For example, let's us take the issue of Beef eating:
- Vedic Age: Male Cows were sacrificed and eaten as Prasadam -https://archive.org/details/textswhiteyajur00grifgoog
- 300 BC: Emperor Ashok published edict not to eat Cows
- 1st millenium AD: Defying Vedic scripture, a new caste was created specifically for beef eaters, hunters, butchers, executioners & fishermen: Asprasya (Untouchables) -https://www.pahujalawacademy.com/lectures-of-history/
- British Raj: Asprasya were discriminated against, and named as Dalit. -http://ijmsrr.com/downloads/1704201665.pdf
- 2017 AD: People are murdered for being suspected of killing a Cow. -https://en.wikipedia.org/wiki/Cow_vigilante_violence_in_India_since_2014
The "watertight compartments" are not philosophical barriers, but the modern definition of Castes and Sub-Castes(Jats).