They will not deport for an arrest, only if convicted of a crime.
Many times a person is arrested by the police, only to be let go with a warning, also if it goes before judge, they may drop the case and charge you a fine, again this won't result in deportation proceedings.
QUOTE
Consequences of Criminal Behavior for LPRsThe United States is a law-abiding society. LPRs in the United States must obey all laws. If you are an LPR and engage in or are convicted of a crime in the U.S., you could have serious problems. You could be removed from the country, not allowed back into the U.S. if you leave the country, and, in certain circumstances, lose your eligibility for U.S. citizenship. Examples of crimes that may affect your LPR status include:
- A crime defined as an “aggravated felony,” which
includes crimes of violence that are felonies with a
1-year prison term. - Murder.
- Terrorist activities.
- Rape.
- Sexual assault on a child.
- Trafficking in drugs, firearms, or people.
- A crime of “moral turpitude,” which in general is a crime with an intent to steal or defraud; a crime where physical harm is done or threatened; a crime where serious physical harm is caused by reckless behavior; or a crime of sexual misconduct.
There are also serious consequences for you as an LPR if you:
- Lie to get immigration benefits for yourself or some-one else.
- Say you are a U.S. citizen if you are not.
- Vote in a federal election or in a local election open only to U.S. citizens.
- Are a “habitual drunkard”—someone who is drunk or someone who uses illegal drugs most of the time.
- Are married to more than 1 person at the same time.
- Fail to support your family or to pay child or spousal support as ordered.
- Are arrested for assault or harassing a family member (commit domestic violence), including violating a protection order.
- Lie to get public benefits.
- Fail to file tax returns when required.
- Willfully fail to register for the Selective Service if you are a male between the ages of 18 and 26
http://legalassistance.law.af.mil/content/...es_as_a_lpr.pdf