How will they know if there are 'illegals' without 'Due Process'.
Detaining someone for whom there is
prima facia evidence of having committed a crime (e.g. wading the Rio Grande into the US without US citizenship, a Green Card or a valid visa) is not a violation of due process. If it were all arrests would be violations of due process. Denying them habeas corpus by refusing to explain why they were detained would be. Expelling them without a court adjudicating that they had, in fact, committed the crime of entering the US illegally would be.
It does not help the conservative cause if ostensible conservatives do not understand the Constitution well enough to know basics like what due process in the Fifth Amendment means. Due process as understood in the Anglo-Saxon legal tradition, which the Founders assumed as given and codified in the Constitution is part of what made America great. Getting rid of it to create a quick fix for illegal immigration is not making America great again -- maybe you should remember that getting rid of due process rights of young men accused of sexual improprieties while in college was one of the offenses of Obama and Biden against American greatness that helped get Trump elected in the first (and second) place.
Yes, doing it right is slower, but so is having jury trials for people accused of murder, allowing them to appeal their conviction if they are found guilty, and only then (if the jury sentenced them to death) executing them. Lynchings are much faster.