Invasion of Rance for real

I believe that the invasion of France was a terrible idea from the Allies because not only will they lose many troops, but the German Third Reich is too powerful for them to overthrow or push back out of France. I do not know why the Allies decided to attack one of Germany's most powerful holds to any beach first, but what I do know is that it was a very stupid descision that apparently did not receive mch thought into it. America will be severely distraught if this does not work out for them.