This is a jurisprudence issue which is dealt with by leading jurisprudence scholars with detailed evidence from Quran and Hadeeth. Simple person who is not an expert can not understand such special jurisprudence matter. He should be advised to refer to the most learned scholars. You can brief him that we are allowed to deal with non Muslims in the same way that they deal with others and take it as justified.
If her Fiqh really permits her to marry without her father's permission, then you will be allowed to deal with her in marriage contract according to her own Fiqh.
It depends on the situation of your family. If your family members are flexible and open minded and appreciate evidence and believe in freedom of faith, then you can inform them that the authentic evidence guided to to follow Ahlul Bayt (AS). You can also give them some important points which guided you to Ahlul Bayt (As) which can help them not only to appreciate your research for the Truth for your life here and hereafter, but also open their minds to think properly about the Reality of Real Islam of the Prophet and his Holy Progeny.
'If your family members are rigid and closed minded and do not respect evidence nor freedom of faith and want to remain blindly following their fore fathers, then it might be harmful to inform them because it might create enmity and hatred against you.
'Keeping your faith secret is the option of thousands of believers who live in a negative surroundings which can harm them if they disclose. This is called Taqiyya which is mentioned in Quran in many verses. Allah Did Praise in Quran (Sura Ghaafir; verse 28) a believer from Firaon family who was hiding his faith.
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