Respecting others with different beliefs was how I came to know and love this Hinduism had I not respected beliefs different than mine I wouldn't be here today.
Respecting others and respecting beliefs is completely different things. Beliefs are just ideas, concepts. If I attack an idea or concept, I am not attacking the person. I find certain ideas or concepts irrational, offensive, ridiculous, stupid. If I criticize certain ideas, the person holding these ideas should not take it personally. Hence, if I find Bhakti is not something I can respect, the bhakta should not take it personally.
This idea that we should respect every bodies paths and beliefs, an idea especially promulgated by the bhaktas, is what I meant by the the Dogma of Bhakti. This dogma expects me to by default to respect their beliefs and practices(even if that is worshiping rats!) and also accept it as equally valid to mine, one among many paths to the divine..... err what if do not believe in that dogma? What if I believe there is only one way and one truth, and you either have it or you don't? What if I don't believe in relativism?
I am not a relativist. There is no variation in truth, Truth is one. As truth is one there is only one way or path to the truth.
It is a myth that Hinduism is relativist and accepts all truths as one, and people like Swami Vivekananda and Gandhi are responsible for this politically correct Hinduism. Hinduism has never been historically relativist. It has been incredibly divided with everybody thinking they knew the absolute truth, and ducking it out in formal debates to establish the supremacy of their philosophy. Shankara did exactly the same thing. In fact he made fun of the relativism philosophy of the Jains, likening it to insanity and confusion, where one holds two contradictory positions as equally valid, such a person would not be able tell right from left.
I make no compromises and I am not politically correct: I am through and through Vedic. We have a history of debate and Shankara is the epitome of this.