We are not hindus or christians or

Simply we are teaching that “Become God conscious.” God is neither Hindu nor Muslim nor Christian. He’s God. And WE ARE ALSO NOT HINDU or Muslim or Christian. This is our bodily designation. We are all pure, part and parcel of the Supreme.

You may call the Vedas Hindu, but "Hindu" is a foreign name. WE ARE NOT HINDUS.

So we have got recognized ācārya, just like you said, Rāmānujācārya, Madhvācārya, Nimbārka, Viṣṇu Svāmī, Caitanya Mahāprabhu. Or Śaṅkarācārya even. You follow one ācārya, like Christians, they follow Christ, ācārya

You must follow some ācārya. But don't give your opinion. That is our process. Evaṁ paramparā-prāptam.