Lindsay Lohan -- Don't Believe My Criminal Dad About Conservatorship

Lindsay Lohan says it's no surprise her dad Michael Lohan claims she's doing drugs and abusing alcohol ... she says convicted criminals tend to lie when their family cuts them off.

Lindsay is telling close friends ... she laughed off our story that Michael is trying to get a conservatorship for her, claiming "No judge would buy it." Lindsay goes on, "They would have a hard time believing the claims of someone who was investigated for insider trading, arrested for domestic violence multiple times, arrested for assault, has a drunk driving arrest, and has been in and out of jail and prison for years."

Lindsay says her dad's failed intervention attempt and his move for a conservatorship were triggered by HER decision to cut off all contact with him. She's particularly pissed off at the emails between Michael and her management team about Lindsay using cocaine and guzzling alcohol ... claiming it's all lies.

Lindsay says she and her family are working up papers to get an order of protection against Michael.