The word "Hindu" is somewhat foreign according to India's spiritual or cultural conception. The exact word used for this purpose is "Sanatanam" or the eternal. Sri "Bhagavad-gita" gives us the message that "Sanatana" religion is meant not only for the "Hindus," the Indians or all the humanity at large but also for all living beings on earth.
It is wrong to interpret that Vedic religion (commonly known as "Hinduism") is not proselytistic. The proselytizing method of "Bhagavad-gita" is to turn the face of all mundaners towards the transcendental service of the Absolute Personality of Godhead "Sri Krishna" which process can only save them (the mundaners) from all calamities past present and future.
The present Godless civilization has to be remoulded into Godly one and for this purpose all missionaries (Hindu or non-Hindu) who have regard for scientific proselytizing method may join this "League of Devotees"