Fair point Lothian.
However, it is worth pointing out that the Commissionaires take an oath that their actions will be in the interests of the EU as a whole, rather than of their individual national affiliations.
That kinda implies a seperate "European" identity for the "European Government", as opposed to being just a debating chamber for individual national perspectives and interests.
In other words, its intent is INDEED to be a "seperate independent body"
Wether that actually works in practice , I do not know.
As for dictating to member states against their will.... no.... the Commission doesn't dictate.
THAT is the prerogative of the Council.
Except on issues of Treaty Change, it most certainly CAN impose its collective will on any given member state. This IS democracy, but I think the "Brexit" argument is that it is operating over to wide a geographical range. What is appropriate or desirable for Poland or Greece may NOT be in the interests of the UK. (and vica versa, of course).