Any good alignment tech would check all the steering and suspension parts prior to performing an alignment. I would first advise to not return to that shop.
Your description speaks of a serious problem. You need to safely raise the truck, and support it on jack stands and examine things for the failed part/s. Move the wheels up, down, in , out. Use a long bar to pry up from the underside of the tire. ( be careful it doesn't spin) and look for play in any part.
Tie rods sound like the most likely problem. However the problem being as severe as you say, there can be a number of issues.
Something this bad would indicate the Bronc shouldn't be driven until it's sorted out.
Good Luck