First, that assumes that the leadership role should be a fixed position, which isn't the case. Second, this statement assumes the only option for an egalitarian organisation is a form of consensus democracy. Neither of these things is true
You can have a flat organisation in which different people are responsible for taking the lead, and the others hold him/her accountable for not doing so. If I am in a small team with a few engineers, a few designers, and a few marketing experts, and each of them has their own specialty too, then obviously each of them can and should take the "lead" in their respective specialty. There is no need for a consensus on the majority of topics if we trust each other to know what we are doing.
Sure, for big-picture stuff a consensus is still required, and it might even be beneficial to have an inspiring leader whose vision we are realizing, but it's a pretty big leap from there to this:
> Democracy in teams essentially divides the team
Why would democracy do this more than a top-down view? People would still have opposing ideas, they would just not be heard.
> those opposed and forced to act according to the majority will not be cooperative
Again, do you have any reason to believe this is less likely to happen in an organisation where the direction is decided top-down? Because the only difference I see is whether or not the opposing views are visible - and having those opposing views hidden and unexplained actually sounds like a terrible situation to me.