You can fix it - no matter which desktop - with another system default font.
I use XFCE, others had this with KDE, Gnome, Unity, LFXE.

1) Start LibreOffice (not maximized, so you can see some desktop icons.
2) Change the Linux systemwide default font in "Settings/Appearance" to another.
3) The change is immediately visible in your LibreOffice menus without restarting it.
Repeat from step 2 until you like the result. (AFAIK I have chosen DejaVu Sans, sitting in front of WinXP now).