Any fortified position can be overcome if you have more Troops than they have ammunition. Normandy was a meat grinder and the administration promoted the myth that Germans were outflanked with a diversion and secrecy. How effective was the diversion that incidentally cost the lives of about 15,000 innocent French civilians when the diversion was half a day away? It's all bull shit to cover for the incredible casualties. Historians agree that a mere half hour pre-invasion shelling was an incredible mistake when they shelled fortified positions for days in the Pacific but Ike was apparently consumed with secrecy. The Allies let Montgomery run the show in Italy and the confusion over command structure was a factor in the initial setbacks.
Your problem is you have no idea of what you are talking about. I have actually BEEN to the battlefields of Italy.
Cassino, the battle I mentioned, witnessed the dropping of over 700 tons of bombs on the German positions, followed by a barrage of 196,000 artillery shells, all into an area the size of Boulder Colorado....and the Germans STILL won.
Your theory doesn't hold up to historical fact.