1. I do not believe India is going the Hindu nationalist direction. Hindu's are just beginning to react and push back against the constant pressure they face, in their own country and despite being a majority in that country.
As a tiny example, Islamists and Christians, both conduct forced conversions in India regularly, even today (google it; you can read opindia.com). People are beginning to push back. Naturally, this will get the attention of the media, much of which is biased against Hindu's (colonial history). India has had about 400 - 500 years of Islamic rule, and then 200 yrs of British rule. The British especially, not only destroyed Indian institutions and culture but also created an inferiority mindset. Unfortunately, the first 70 years of independence featured political parties that were not nationalistic (note that this is not fascist) or really focused on raising the standard of living. Indians and Hindus are beginning to shake this off now.
NOTE: For most of history - Indian civilization is at least 12,000 years old, if not more - India represented around 50% of world GDP. There is a youtube video for just the past 2000 years that shows that India and China were around 30% of world GDP each. After all, why did the Islamists and British come to India (and China) if it was not too loot and pillage those countries off their wealth. Roughly 45 - 60 trillion USD was stolen just from India (google it).
2. From a religion perspective, India can never have misogynistic overtones. In Hinduism the male and female (energy) are worshipped equally. The worlds oldest books, the Veda's (and the basis for India's scriptures) had at least 26 female contributors, in addition to male contributors. If anything, the female is a step above.
There are many Gods who are female and many who are male. The concept of Gods in Hinduism is very different from that in other religions. These are not Gods sitting in Heaven someplace, lording over us. Instead each God has attributes, values associated with them. You worship what the God stands for. The idols and pictures you see are not worshiped as clay idols. They are worshipped as the values that that God stands for. Everyone knows that the idol is made of clay and it would be silly to worship clay. You do not worship the clay but the symbolism. Hinduism is enormously symbolic. Makes it hard to understand by those who are not born / grow up in the culture - someone has to explain it. As an example, you can read up on why the Shiva cosmic dance statue is at the CERN collider and what that means.
NOTE: It is important to appreciate that the India you see today has had its culture changed due to these 500 + 200 years of rule. Many bad practices crept in. And also many bad practices were forced onto the population. e.g. people talk about the caste system. Well, it will surprise most Westerners that India originally did not have a caste system. There is no word for "Caste" in Indian languages. Caste comes from Casta, a Portuguese word. Caste was foisted on and enforced within India by Lord Macaulay (google it; but no Wikipedia please; it is another biased against Hindu/India publication). Culture also changes because some of the conquerors mistreated women and children. So, the culture evolved to protect women. Over time this can result in bad practices, of which there are many, in addition to wonderful practices.
NOTE2: Before the British arrival, a lot of family wealth was controlled and owned by women. The British passed laws that destroyed that. Through most of India's history (barring the last few hundred years), at a practical level, women had a lot of power and respect. There have been many women rulers and highly educated women. In the past 70 years, India has had at least 1 woman Prime Minister and at least 2 Presidents who were women (including the current one).
3. Another comment one often hears about Hindus is that you have a huge number of Gods. Well, yes and, all the Gods in Hinduism lead to one, the supreme consciousness. This consciousness permeates everywhere. The paths to get there are many. The reason that there are so many paths is because every human being has unique needs; each human is different. Hence, people pick what works best for them. Some like to worship by going to a temple, others through Yoga, others through singing hymns, yet others through meditation etc.
4. Hinduism is enormously diverse, broad and deep. If anything, it is not a religion in the way that that word is used for other religions (where you have a single book, you have to follow that book, where there was 1 historic event that took place 2000 or 1400 years ago, and everything is tied to that event). Very briefly, there are at least 8 or 9 very different and diverse ways of explaining God / why we are on Earth etc. In other ways 8 or 9 different philosophical systems, each of which would take a lifetime to fully understand and each of these have sub-schools. These run the gamut from denying the existence of God and claiming that all you see is all there is (materialistic) to having many gods or just 1 god. The names of the schools are Jain (Jainism), Bodh (Buddhism), Charvaka, Nyaya, Vaisesikha, Sankhya, Yoga, Mimamsa, Vedanta. Each school has had many lofty thinkers who deeply analyzed creation, reasons behind it etc. and wrote their treatises. Through the ages these schools have verbally battled with each other, each trying to find logical fallacies and errors in the other. But none of this ever resulted in wars or killing each other.