India wife in USA filing case against husband harrasement

Indian men working in the USA got married in INDIA (Arranged Hindhu Marriage). After marriage they has a kid. After the kid is born the wife started fighting with man for every small thing. Later they used to fight every single day. They used to live in the USA where all the neighbours are also Indians. Wife started going to neighbours and telling that his husband is harassing and abusing her daily. By taking advice from neighbours she filed a police complaint against him as he is a domestic abuser. Later she filed for divorce and they both got divorced in the USA. He paid a huge amount as part of alimony. 1 year later, the husband got to know that she met his ex. boyfriend and they decided to live together. So she planned the whole scene to get a divorce/alimony and framed him as an abuser. Now my question is in the above scenario, what would be USA law charges that would have been filed under him (husband)?? and the USA law will accept neighbours statement (as proof) and will they charge a case against the husband?