The problem I see, is that silly little quote, ‘no taxation without representation’.
If you are in the US, with a proper and valid visa or work-paper, then I think you need to be counted (to fulfill the no taxation angle). However, if you are here, without papers or visa, I don’t see how you can be counted.
All of this however, is just leading down to some point in ten years where a ‘citizencard’ (proof of citizenship) will be mandatory.
The problem is that silly little quote, "Representatives shall be apportioned among the several states according to their respective numbers, counting the whole number of persons in each state, excluding Indians not taxed." "Whole number of persons" not "whole number of citizens".
No, absolutely not! You’re way off base.
You should not be counted if you have a valid visa. A visa doesn’t grant you the right to vote. Only US citizens should be counted in the census.