my ex-wife's affair partner is a compulsive liar

i submitted a request to the National Personnel Records Center in St. Louis which proves that he has no military service, but he goes around telling everyone that he's former special forces, and his Facebook page lists "team lead at 2-32 armor batallion [sic]" which was deactivated in 1992, which means that he was 3 years old during his service, lol

this is in addition to a number of other lies i've compiled about his criminal record and personal history

he's a convicted felon and was a fugitive for a while

i want to use this as a reason, in combination with other neglect, to keep my ex-wife and him away from my three minor children

is this worth pursuing? is it worth using this info in the custody case?