People already have a share in the GDP. That's what it is, the total domestic product, the sum of all the little parts. The problem is not that people don't have share in it (and this goes for every country, not just for the USA), but that they have a disproportionate share in it.
Bill Gates' (to name a random American citizen) has a far larger share in the GDP than most other Americans. If you want to solve that raise your taxes on the rich and lift up those that are at the lowest end of the scale. That will have a lot more effect than some fiction where you get to do a bunch of make-believe bookkeeping.
Of course in the current political climate this will not happen, in fact the reverse will happen, tax cuts for the rich at the expense of the poor and the middle class.
Bill Gates' (to name a random American citizen) has a far larger share in the GDP than most other Americans. If you want to solve that raise your taxes on the rich and lift up those that are at the lowest end of the scale. That will have a lot more effect than some fiction where you get to do a bunch of make-believe bookkeeping.
Of course in the current political climate this will not happen, in fact the reverse will happen, tax cuts for the rich at the expense of the poor and the middle class.