So far, your "rethinking the whole process" has been to:
a. Remove the right to trial if there are media reports of a confession and supporting evidence; No, I take nothing the media says as gospel, that was your assumption.
b. Move straight to sentencing if the facts, as they are reported in the media, offer no other explanation other than the person's guilt;Once again, your assumption
c. Introduce the idea of exile as a judicial punishment to countries where the person's ancestors were born. This is true, and I still think it is a fine idea.
I will say that your idea might speed up the judicial process if adopted - there remains a number small problems with your ideas that you really should ponder:
a. How do you separate false confessions to offences from actual confessions without a neutral third party to examine all the other evidence;
This does not have to take an excessively long time to accomplish in clear cut cases such as Tsaraev's and Ariel's. These kinds of cases are the exception.
b. How do you determine what the person actually confessed to, or under what circumstances; Videotape all confessions
c. How do you prevent the abuse of this process; As stated above.
d. If saving time and judicial resources is the goal why not just assume that everyone arrested is guilty and punish them accordingly; This is stupid and not even remotely close to what I suggested.
e. If you decide to strip a citizen of their citizenship and exile them how do you determine where that person should be exiled to; If they are a U.S. citizen it would be a moot point, but if we are considering terrorists of foreign birth, why not?
f. How do you determine that the country they are exiled to will punish them at all; I can't think of too many countries that welcome terrorists, it would just be a matter of time before they did something illegal there and had to wade through a foreign judiciary process.
g. How do you persuade a nation state to accept your convicted criminal; and Exactly, but if they possessed dual citizenship, no crime was committed in the country of origin, can they refuse them entry?
h. Convince a large portion of the voters that your proposed changes to the judicial system are perfectly acceptable, that such extraordinary power will not be abused, and that the US Constitution needs urgent amendment to reflect this and that such amendments need to have retroactive application (at least back to April 15, 2013)? All you have to do is put it out there and see what happens. There is no way to predict abuse, but since our current system is abused, anything should be an improvement whether we adhere more diligently to the existing laws or amend the constitution to strip terrorists of their rights. We aren't doing such a hot job controlling terrorism in our own country with past measures, if you continue to do things the way you have always done them, then you will always get the same result.