The Iraq war was won because of 40.000 airstrikes. Do some research and figure out that the Iraqis offered stiff resistance. So, as you can see, we would have no air superiority in a war with Egypt. We also have 300 MBT. They have 1000 Abrams and thousands of other MBT. The Bundeswehr is not able to wage a war.
So you're saying it wasn't numbers of troops that won the war, but weaponry and efficiency of the Armed Forces?
Just because Iraq offered resistance, doesn't mean they didn't get their asses handed to them in a very short time. Does it?
Egypt has a better Air Force than Iraq had. They need it for fighting with Israel. That doesn't mean that they're going to be more efficient.
But the issue with Germany is that it doesn't need to wage a war. If it did go to war, it would go alongside other NATO and EU countries. The US didn't invade Iraq alone.
The point here is, could Islamic radicals take over a German city. The answer is no. The Egyptians aren't efficient, they have lots of conscripts who don't know how to do more than pick their asses.