This is a main issue for me and for others who's main language is not written in Latin alphabet. There are two main groups in my family: Hebrew speakers and Non-Hebrew speakers. Since I want everyone to understand the family tree easily, the display names are biligual. However, using biligual first and last names works pretty bad, because what I get in my profile is עמרי Omri שרת Sharet, and it gets worse when there are second and maiden names - שרה Sara גיטל Gitel ליפשיץ Lypszic (ורשביאק) (Warszawiak). This looks very bad, but if I don't do that, I have to choose if I should use names in Hebrew or Latin - and the problem with that if I choose Hebrew, I won't get merge suggestions from Latin trees, and vice versa.
I ask you to solve this, and my suggestion is suggesting merges according to display names too. It should do the trick.
Thanks.