A National Executive member, he has told his party President Amit Shah in a letter that there was "anxiety" among the people to know the roadmap to fulfil some of the promises made in the 2014 election manifesto on Hindutva issues.
The letter, copies of which were sent to some members of the National Executive, urges the BJP-led government to find solutions to these "outstanding" issues to bring a "renaissance" in the country's religion, culture, history and heritage.
Swamy, who had recently launched Virat Hindustan Sangam for pursuing Hindutva issues, has said a negotiable settlement could be worked out by Hindus and Muslims for building a Ram Temple in Lord Ram's birth place.
Hindus can agree to build for Muslims a new masjid across the Saryu river in place of the demolished Babri Masjid, he has said.
The former union minister suggested that a national ban on cow slaughter could be done through enacting a Central law which is permissible under the Concurrent List of the Constitution.
The abolition of Art 370 of the Constitution that gives special status to Jammu and Kashmir does not require a vote of Parliament or the state Assembly but by a notification of the President on the recommendation of the Union Cabinet, he said.
Swamy demanded a law barring the government from taking over the management of religious institutions, which is in the Concurrent List for more than three years and declaring Ram Setu a national heritage monument.
Making Sanskrit an optional language in all southern states and an alternative choice to Hindi in Hindi-speaking states and setting up of a committee to "correct" the history of India in text books were the other demands he has made in his letter to Shah.