It may be classified as a misdemeanor, but it is far more serious. The fraud alone is enough to ensure that it should be a felony. Regardless, it is a crime and crimes are punished.
From the CNN article:
A Trump administration policy now charges every adult caught crossing the border illegally with federal crimes, as opposed to referring those with children mainly to immigration courts, as previous administrations did. Because the government is charging the parents in the criminal justice system, children are separated from them, without a clear procedure for their reunification aside from hotlines the parents can call to try to track their children down.
The policy to refer all adults for charges was publicly announced May 7, but the Justice Department announced it would prosecute 100% of the cases referred to it at the beginning of April.