The problem IS precisely that most of us don’t “know” Christ in any obvious way, at all. So apologetics and evangelization are exactly the means by which to “arrange a meeting.” The difficulty is that coming to “know” someone, anyone, requires a sustained willingness and trust to get to really know them, as them, rather than as the superficial impressions we have ABOUT them.
I have never met your mother, so in order to “meet” her, prior to getting to know her, I must be convinced that a number of things are true about her in order to get me to the initial “meeting place,” so to speak. I have to be brought face to face with her by those “facts” about her - where she exists, what she is like, that she is worth meeting, etc., etc. those are all assumed by you “knowing” her, they are not assumed by those who don’t. Obviously, there are many people in the world who stand in the same relationship to Christ as I do regarding your mother. The question is arranging the meeting and how that is to be done.
Someone hesitant about meeting a blind date will require a great deal of “proving” to convince them that getting to know that person is “worth it” for them. Whatever means possible may be necessary and since man is a supposedly “rational” animal, reason would seem to be a legitimate means.