Precisely what constitutes a compelling state interest justifying deprivation of a fit parent's—and primary right to legal and physical custody of her child in a divorce?

QUESTIONS PRESENTED 1. Precisely what constitutes a compelling state interest justifying deprivation of a fit parent’s—and primary right to legal and physical custody of her child in a divorce? 2. Is the “best interest of the child” standard, as it pertains to Ohio Revised Code §§ 3109.03, 3109.04 and 3109.051, unconstitutionally vague and broad? 3. Does overzealous application of the state-law principle that courts speak only.through their journal entries violate the Due Process Clause?