Sources close to the Lohans tell TMZ Dina's taking her war with Michael to the next level -- urging Lindsay to ask a judge for the protection order to stop her father from having any contact with her whatsoever ... including phone calls, texts, and emails.
Dina's push to legally freeze out Michael comes on the heels of Lindsay's tearful statement -- on TMZ Live -- that she is "done" with her father.
But according to our sources ... LiLo's not down with Dina's plan because she thinks the protection order is too extreme -- and she ain't exactly keen on the idea of marching into a courtroom. Understandable.
We're told Dina has approached her other children as well (Cody, Ali, and Michael Jr.) ... but it's unclear if they were receptive to the idea.
We called Michael for comment, and ... predictably ... he thinks Dina is the danger to the Lohan kids -- telling us, "I suppose Dina got wind that I want the court and Child Protective Services to investigate her!"