So his jouney to Egypt was to help them over throw their oppresive leaders, ditto Italy, Austria ditto ad nauseum.
If Napoleon was such a republican that he scared the rest of Europe into war with him how come he kept making his brothers Kings?
Because Napoléon tought -with some reason for some places- that the better way to impose revolution's creation was to adapt them into a mix of republican and monarchic values.
But these kingdoms were nowhere close to what were imperial Russia, or Austria regarding reactionnarism or oppression.
I will give you the First Coalition was most likely formed to stop the French revolution spreading, the next six where there to stop French agression.
You miss my point : Napoleon wasn't particularly democratic. But the French Revolution wasn't either. It never avoided to have positive things as civic equality to appear and widespread thanks to Napoléon (Code Civil, someone?).
So, yes, that's frightened the old kings and emperors that were about the old fashioned way.
I would just go with 1802 war. UK is the agressor there, because they not only declared the war, but refused to apply the Treaty of Amiens in order to push Napoléon to declare war first.