This is not correct. A criminal is someone who commits a crime. Being illegally present in the United States is not a crime, although there are some proposals to make it one. As with getting a parking ticket, overstaying a visa is a civil offense, not a criminal offense. That’s why people accused of those things aren’t entitled to jury trials or other constitutional protections afforded to criminal defendants.
(Illegally entering the U.S. is a misdemeanor — i.e., a crime. But most illegal immigrants did not illegally enter. Most entered legally and then stayed illegally.)