The feds will intervene (on behalf of the illegals of course) and the resulting publicity may be enough to finally inform and involve the rest of the country.
You may be right
converge on the border and physically stop them
there is a group of patriots doing exactly that today down near IRC Laredo.
The MSM will portray them as racists and I know there will be confrontations between the illegals and the Americans and likely the Border agents and Americans