What will happen:
The GOP will gain the Presidency in 2016, so they will pass a national right-to-work legislation after having ended the filibuster rule, and just to make sure this wouldn't be repealed after, they will appoint pro right to work judge to the Supreme Court.
So RIP american unions
How would labor supporters react though? It's hard to see how the "right-to-work" Taliban would go that far without touching off a people's revolution.
Nobody in America cares enough to do a "revolution" over anything. They'd get mad, write some angry comments on the internet, maybe do a protest, then go back to eating McDonalds/watching Honey Boo Boo and will forget about it within a month.