The most common diference between these two groups is that backers of the crime control model want bail to generally be less available (and higher when it is available) than backers of the due process model would like.
The backers of the crime control model want the criminal justice system to be relatively punitive and to be more skeptical of giving rights and privileges to those charged with crimes. They are more inclined to err on the side of being too harsh so that society might be protected. Accordingly, they dislike bail. They worry that those released on bail would be more likely to commit further crimes while they await trial. If bail were higher, more people would remain in jail before trial and would therefore not be able to commit further crimes.