I agree totally with you and my preceptor also stated that Dharma does not mean a religious or Hindu dharma. However on this forum and elsewhere there are people who identify themselves as Hindu. So I am interested to find out why and how they see themselves as being Hindu rather than just people trying to follow Bhagavad Dharma.
It starts to feel like they define themselves as Hindu by what they are not and they perceive as "outsiders".
You can use the term 'Hindu' as a functional identity in this world for practical purposes, just as you use your name-identity, nationality, professional qualification, gender, sexual orientation, and so on.
However to misuse one's functional identity as one's true self is the cause of mischief, sorrow and evil.
One's true self is the Self as taught by Vedanta.
The Self, our Being, is Awareness. - Sri Muruganar
Knowledge and 'I' ( Self ) are both one. - Sree Narayana Guru
Your true nature is awareness and not what your mind is producing. - Burt Harding
Awareness is who we are and forgetting that leads to suffering. - Vicki Woodyard
So you can see here eastern and western enlightened masters talking about the Self as one's true identity, and not the transient content of the mind which has a beginning and an end.
Because of lack of self-knowlege or knowledge of their true identity of the Self, people start using their functional identities as their true identity and holding onto it firmly with great emotional energy. After all, without a sense of identity, people can feel confused, uncertain and fearful. Without a sense of identity, one can end up as a psychological wreck. An identity, no matter how ridiculous or manmade it may be, gives them a sense of psychological security.
Obviously this can spell trouble because the beliefs and corresponding thoughts and actions of a certain belief system can vary with others, leading to potential reactivity,conflict and violence.
And hence the remedy for all this is self-knowledge.