Funny you say that:
1) Lugo got acquitted of all charges in 2003, a full four years before the Sox signed him. Unlike Chapman and Brett Myers, there was no concrete evidence against him, since in Texas you can and will be prosecuted on hearsay for charges of domestic violence. His ex-wife said (and it was proven) that she told the prosecution from the get-go, that she had willingly and specifically provoked him on more than one occasion because he was threatening her with divorce, but that he never actually hit her. Now, this is in no way, shape or form a defense of Lugo if he did hit his wife, in which case I hope he gets sent to jail and becomes Bubba's wife, but three simple points: A) No tangible evidence. B ) No repeat offenses. C) Signed several years later as his conduct sheet came out clean, instead of knowingly trying to use his checkered past to obtain him at a discount rate via trade, a la Yankees with Chapman.
2) The Red Sox (Wil Cordero), along with the Astros in the Lugo case, are the only teams to proactively punish a wife beater. The Yankees did not do it with Knoblauch, the Twins did not do it with Puckett, the Rockies did not do it with Bichette, and no team did it with Milton Bradley. You're barking up the wrong tree here.
Seriously, stick to doctoring.