"By not providing ID the law allows them to detain you until you do or ship you out of country assuming your an illegal considering you can't provide any documents proving your citizenship"
At this type of checkpoint? You are wrong.
You will never find that law.
Your response, if any, will verify this.
"And on the border or not there is a X mile radius away from it that it carries the same weight as on the border"
The same weight at this type of internal checkpoint? Wrong again. Please show us you won't find that law either.
"you can't argue facts."
And you won't find any applicable law to support you. How you react to this is up to you.