It seems a fine way to see Hinduism. But that would mean that anyone who masters this practice could be called a Hindu and I'm sure many advanced Sufi's, Buddhists, Jains, mystic Christians, Sikhs, Kabbalists etc. etc. could do just that. But then the identification of a Hindu would become quite meaningless.
So what it is really that makes Hindu's see others as fellow-Hindu's? Am I even seen as a Hindu just because I practise tantra-yoga?
Or is it such that people in "outside" religions are seen as somehow "imperfect" Hindus that need to become a little more civilized?
The term 'Hindu' is a label, just like the term Muslim, Christian, Bahai, Jew and so on. If you get stuck in the label it can limit your spiritual growth. Most religious fundamentalism, conflict, intolerance and terrorism comes out of this tendency to find psychological security in a label and corresponding group.
The focus of any religion is just this expansion of consciousness. It is true that present moment awareness is taught in every religion, but how much these teachings are implemented in real life is in question. If they were implemented 99 % of the world's problems would evaporate overnight.
The only label I see is a good human being and a bad human being. A good human being is conscious and abides in present moment awareness while a bad human being tends to be unconscious and lives in psychological time, that is the past or future .
The Self which Rama, Krishna and Upanishads teaches about can be found only in present moment awareness, and not in psychological time.
If a Christian or Muslim lives consciously in present moment awareness they can be termed as good human beings while a Hindu who lives in psychological time cannot be termed as one.
I have illustrated this in more detail in this
thread of mine.