How are the crime control model and due process model alike?

The only real similarity between these two visions of the
criminal justice system is that both of them exist (according to Packer) within the general
framework of the United States Constitution.

Packer argues that the
two models are very close to opposite in their aims.  However, they both believe in and adhere to
the standards set out in the Constitution.  For example, both models believe that the criminal
justice system must operate within some set boundaries.  Not even the most avid backer of the
crime control model would argue for a police state such as that of Nazi Germany -- one where
there were no limits on what authorities may do.

So the major
similarity is that both models accept the ideas of the US Constitution, even if they do not agree
on exactly how those ideas should be applied.