Hinduism as a religion never existed. It was Shaivite or Vaishanavite philosophy whichever ruled the roost (or the mind of the kings who ruled) that contested for the religious space in India with Buddhism / Jainism. Some body really smart combined both Shaivism and Vaishnavism and called it Hinduism.
And about the "way of life" claim, every religion claims to be so. So that is no USP or claim worth crowing about.
What ails the most popular religion in India (we can call it whatever name we want) is unity amongst its constituents. This is, I guess, a consequence of its stilted interpretation of the Manu Smriti... which divided people on the basis of occupation, which got manipulated to divide them on the basis of their birth amidst stratification of society.