But you're wrong. The memo says they can use an administrative warrant - which is to say, a warrant signed by an immigration official, part of the executive branch - to enter a house and arrest someone. The executive branch is authorizing an executive branch official to enter a home, bypassing the judicial branch.
The CRUCIAL thing to note is that ICE gets stuff wrong. Their info is often stale or flat wrong - so even though they say "this is only for illegal immigrants, don't worry about it ;)", it can ABSOLUTELY affect citizens.
Note also that, since it's ICE and immigration officials (again: all executive branch) making these determinations, the executive is also deciding whether there's probable cause to think that an illegal immigrant is in a particular house. This damage to due process is ostensibly only aimed at immigrants, but it affects all of us.
I see the issue raised with the process owner being all Executive --but on the other hand due process frequently inadvertently affects non-criminals (i.e. not all suspects are the guilty party in a given case; however many suspects go through a process where they are finally eliminated as a suspect --but that sometimes can carry on for many years as in the Ramsey case and people spend tens of thousand and millions while they are under suspicion (i.e. not cleared of wrongdoing). So due process doesn't guarantee an innocent person is not inadvertently "dragged though mud".