Is Indian Philosophy “caste-ish”? Yes and no, in the sense that each philosophy is also the result of its sociological milieu, but it is not only that.
Is Indian Philosophy only focused on “the Self”? Surely not.
A philosopher might end up having a double affiliation, to the philosophical standpoints shared by one’s fellow philosophers, and to the religious program of one’s faith.
This can lead to difficult reinterpretations (such as that of Christ with the Neoplatonic Nous, or that of God with the Aristotelic primum movens immobile), or just to juxtapositions (the addition of angels to the list of possible living beings).
A Vaiṣṇava who starts doing philosophy after centuries of religious texts speaking of Viṣṇu’s manifestations (vibhūti), of His qualities and His spouse Lakṣmī (or Śrī or other names), is in a similar difficult situation.
In general, classical Indian philosophers tend to define śarīra ‘body’ as a tool for experience (bhogasādhana). Thus, most philosophers state that plants only seem to have bodies because of our anthropomorphic tendencies, which make us believe that they function like us, whereas in fact plants cannot experience. By contrast, Veṅkaṭanātha in the Nyāyasiddhāñjana defines śarīra in the following way:
In the world-view of a fundamental Viśiṣṭādvaita Vedānta teacher like Vedānta Deśika (1269–1370, aka Veṅkaṭanātha), theology is the center of the system and epistemology and ontology assume their role and significance only through their relationship with this center.