Swami Vivekananda was a truly inspiring leader who taught us that all living beings are an embodiment of the divine self; therefore, service to God can be rendered by service to humankind. This teaching was embraced by Judeo Christians and many other religious groups as it is also a dearly held core Judeo Christian belief as shown here.

https://www.churchofjesuschrist.org/study/scriptures/bofm/mosiah/2?lang=eng

He elegantly introduced Hinduism to the US in his speech beginning with the words "Sisters and brothers of America” at the Parliament of the World's Religions in Chicago in 1893.

It is very fitting from a US perspective that we celebrate him on US Independence Day which is also the day he passed away.