There is no problem in calling a non-Muslim by my brother's word.
exactly the contrary,
it's respectful and appreciated to calling a non-muslim by my brother's word or sir, etc..
and be friendly with him to give him a good picture of the Muslims.
that is what Allah Almighty ordered us to do.
Evidence of this in Surat ((17) Al-'Isra') Chapter number [17.53].
" Tell My worshipers, that they should say words that are the finest ".
" Tell My worshipers, that they should say words that are the finest ".
In Arabic: (سورة الإسراء الآية رقم 53)
"وَقُلْ لِعِبَادِي يَقُولُوا الَّتِي هِيَ أَحْسَنُ"
"وَقُلْ لِعِبَادِي يَقُولُوا الَّتِي هِيَ أَحْسَنُ"
But on the condition, that doesn't exceed the limits stipulated in Islam, between the girl and the non-mahram whether he is a Muslim or not.
summary
call non-muslim or Muslim by my brother's word it's just word to express the respect and appreciation. and don't cancel the sanctity(Hourma) between of the girl and non-mahram from men.
I hope my answer is clear.