" But suppose you don't count the crime they commit everyday they are being illegal."
It is NOT always a crime to be an illegal immigrant: although Improper Entry Is a Crime, unlawful presence without improper entry is not a crime:

Unlawful Presence Is Not a Crime

Some may assume that all immigrants who are in the United States without legal status must have committed improper entry. This simply isn't the case. Many foreign nationals legally enter the country on a valid work or travel visa, but fail to exit before their visa expires for a variety of reasons.

But mere unlawful presence in the country is not a crime. It is a violation of federal immigration law to remain in the country without legal authorization, but this violation is punishable by civil penalties, not criminal. Chief among these civil penalties is deportation or removal, where an unlawful resident may be detained and removed from the country.