I really do not want to be seen as arguing with you.
At the outset, France was at war with no one.
Until Louis' head came off, England was officially neutral, Pitt was officially Isolationist, the Tories were playing a waiting game and the Whigs were rabidly pro-revolution. The execution of a Monarch shook England a bit as the Tories began to speak of intervening by action in the West Indies, but not on the continent. This spread to the Whigs with the annexation of the Lowlands, (this loss of trade was seen as a direct threat to the Whigs power base in the Merchant class) but they argued that the small size of their army made it necessary to keep the army at home to guard against invasion.
The other nations were anything but 'quick to follow'.
Austria was defeated in a series of small sharp actions in the Po valley.
Austria was soundly defeated again at Ulm (perhaps the most classic example of sur la derrier), Vienna, and with the Russians at Austerlitz.
The Prussians were rapidly subdued and placed into vassal status in a series of quick battles of maneuver. The Palatinate , Bavaria and Bohemia came easily, Poland willingly.
After Alexander's peace with Napoleon, he (Alexander) saw the future as a Russo-Franco joint rule of Europe. He was disillusioned by future events.
The Grande Armee was never equaled by any nations formal training or standing army. It was defeated by "General Winter" and the Spanish irregulars. The great coalitions put together with England's money all were defeated in turn. The mistakes were, once again, Spain and Russia. This two front war was too draining to be supported. The populace was finally to war-weary to support the regime, and it fell.
Even after Napoleon returned from exiled during the 'hundred days, the Grande Armee system worked and worked well. At Waterloo the Battle was lost only because Grouchy failed to push the Prussians east and allowed them to 'march to the sound of the guns'.
As to your final question? With Russia under his control the Continental System would have a final stranglehold on England and it's 'Shopkeepers'.