I have known several geirim of different “persuasions” (yeshivishe, chassidish, modern) and there doesn’t seem to be any klal. A lot depends on the attitude of the family. I even know one person who wanted to convert but in the end decided not to because his family became hysterical, and he decided to remain a righteous ben Noach.
In all the cases I know of, the ger/giyores had a halachic and personal guide, a rabbi or rebbetzin, who worked with them to decide what was advisable and permissible in relationships with their family of origin. The bottom line is that halacha must be observed, but at the same time attempting to avoid or minimize conflict, which is hard emotionally on the ger and creates a hillul haShem if there is bitterness.