According to a study conducted by the National Bureau of Economic Research, young adults who participate in military service have lower rates of criminal behavior compared to those who don't serve. This suggests that the military can have a positive impact on individuals who may be at risk of getting involved in criminal activities.

Furthermore, a survey conducted by the Pew Research Center found that nearly 60% of Republicans support mandatory military service. However, it's important to note that this survey didn't specifically address the question of whether it should be limited to those with a criminal record. Nonetheless, it does show that there is a significant portion of the Republican base who believe in the value of mandatory military service.