RotM,

Even the loss of Omaha Beach would not have stopped the Invasion. There were even early plans to move the follow up to Utah.

Yes, things would have been harder.

Also the effort in hiding enogh Panzers to effect the landings would have been noticed by the RAF PRU Units, plus found by Enigma and of course by the French citizens whose land they occupied.

Finally, there were enough units of the USN & RN on call to make mincemeat of any organized counterattack i.e Gela, Salerno, Anzio

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Whe're off to see the Wizard, the wonderful wizard of OZ - 6 Australian Infantry Div, Bardia January 1941