I understand what you say. But there are other considerations at stake here. Of course when you are not enlightened then you should not do it (without permission and good consideration). But here is mentioned "Vivekananda saw the Divine Mother in her". So He was not in a worldly state, but far above. Being in that state one follows different rules [when you see wrong you act upon it; when you see God you act different]. My master gave me sugar. Being diabetic this is not correct. But being divine He could do so, and cured me of diabetes. We don't know, but Vivekananda was a saint, and this young girl might have been given a big blessing. People live and judge by worldly rules. Allah is far beyond. God knows Vivekananda's intentions. If we are enlightened we also know, but else we only judge from worldly few a spiritual event; which makes no sense.
Furthermore Vivekananda did ask permission of the father. The father, boatman, was overwhelmed and thought God was asking him through Samiji and readily agreed [Is written in the article]. And him touching the feet is correct also, because He got permission and this is part of the ritual.
So I understand your view, but I do believe this was the perfect example of Love + Respect towards this Muslim girl and her family
"it does show a certain absence of consideration of the other faith and what it holds as holy"
Not correct because Vivekananda was in a different state + even asked the father for permission
A radical Hindu monk who was more socially-committed than being obsessed with religiosities, Vivekananda spotted the poverty-stricken girl and saw the Divine Mother in her.Incidentally, Swamiji was with Sister Nivedita and Miss McLaud (both his foreign disciples who embraced Hinduism) and others, including some disciples of Ramakrishna. He requested the boatman to allow him to worship his little daughter so that he could perform the Kumari Puja on that auspicious day.
The boatman was overwhelmed. He thought as if the God was asking him through Swamiji and readily agreed.
Then Vivekananda not only worshipped the girl but also bowed down to touch her feet, as part of the ritual.