I am currently reading Swami Prabhavananda The Spiritual Heritage of India (1962) and find it very clear and informative (better than e.g. Heinrich Zimmer's Philosophies of India so far). Early on it explains that
the gods of the Hindu, or devas as he calls them, must always be sharply distinguished from God. God is the one supreme being, the uncreated, while the gods, through supernatural, belong (together with many other orders of supernatural beings) among the creatures.
[...]
perhaps the highest conception of the gods with concrete names is Hiranyagarbha: Before the universe appeared, there first appeared Hiranyagarbha. He, being manifest, became the one lord of the manifested universe. Out of himself came the invisible world, out of himself came the sky and the earth.
Now with that a large notion of gods (specifically including ones that existed before the universe existed) Hinduism could perhaps argue that Christianity's deity is just another god, but not God (tad ekam). It could then perhaps argue that many of Christianity's myths and symbols fit inside its own umbrella like many others do. (In doing so, it would choose to ignore Christianity's particular "myth" of monotheism.)
Have serious branches of Indian philosophy (i.e. Hinduism's "theology") ever argued in this way, or is Hinduism perhaps not interested in establishing such hegemony over foreign religions?