Kahane-Was-Right BT
As to proseltyzing that's his own opinion most if not all rabbis would be against that, to me I think its a waste of time. Look how many Jews there are who need outreach.
My guess is that you are representing the viewpoint of the majority of rabbis.
However, my personal viewpoint, based on the writings of the disciple of the Vilna Gaon in Kol Hator is that sanctifying G-d's name in the eyes of the Gentiles, will be the cause of Jews doing Teshuva.
As the verse in Psalms chapter 126 (verses 2 and 3) says
אָז יֹאמְרוּ בַגּוֹיִם הִגְדִּיל ה' לַעֲשׂוֹת עִם אֵלֶּה
הִגְדִּיל ה' לַעֲשׂוֹת עִמָּנוּ הָיִינוּ שְׂמֵחִים
Namely, when the Gentiles start proclaiming G-d has done great things to the Jewish people, this convinces the non-religious Jew, much more than the sermon of a great Rabbi, because unfortunately, the words of the Gentiles are more convincing or persuasive to someone who is on a low spiritual level.
You could however, argue we have no need to speak to them to convince them. When we do the right actions the sanctification of G-d will take place automatically.