I wish gangels had posted his suggestion because I thought about something similar: "to become a law-abiding citizen." The adjective "law-abiding" is a popular choice, specifically in the States, when talking about gun rights, etc.
But not just across the pond. Straight from the UK's Ministry of Justice:
"We work to ensure that sentences are served and offenders are encouraged to turn their lives around and become law-abiding citizens."
https://www.gov.uk/government/organisations/ministry-of-just...US ex.:
"...and to produce youth who become law-abiding and productive members of society."
http://leginfo.legislature.ca.gov/faces/billTextClient.xhtml...Hyphen-free from the Scots:
"It is important to note that the Gardiner Committee was not generally focused on [...] the many who offend once or twice, serve their sentence, then try to settle down to a law abiding life."
http://www.gov.scot/Publications/2013/08/6133/2I think this hits the right note; re-offend is OK for a dry statistic. They're adressing citizens, not a government agency.
Best