Originally it is thought that Star formation is the process by which dense parts of molecular clouds collapse into a ball of plasma to form a star. (http://en.wikipedia.org/wiki/Star_formation)
I believe that there might be a different process happening that generates stars and makes them burn. Due to the fact that the centers of these new formed clouds are shielded off from all incoming light from surrounding stars, the temperatures can drop to zero degrees Kelvin (0 K), next to the normal temperature of space that is approximately 2.725 Kelvin.
When matter, particularly a fluid such as liquid helium, reaches these low temperatures, it loses all its viscosity, and becomes a superfluid. Superfluids have some impressive and unique properties that distinguish them from other forms of matter. Because superfluids have no internal viscosity, a vortex formed within a superfluid persists forever. A superfluid has zero thermodynamic entropy and infinite thermal conductivity, meaning that no temperature differential can exist between two superfluids or two parts of the same superfluid. A superfluid can also climb up and out of a container in a one-atom-thick layer if the container is not sealed. A conventional molecule embedded within a superfluid can move with full rotational freedom, behaving like a gas. (http://www.wisegeek.com/what-is-a-superfluid.htm)
Another phase of matter that is produced at this temperature is Bose-Einstein condensate, mostly produced from gasses: Bosons' separate electrons tend to occupy the exact same energy level at the same time, which means that the atoms have coalesced into the same exact entity. We can look at this single unit and see one fuzzy point, instead of several separate atoms. Other bosons, like helium-4, can also be forced into a BEC. (http://www.wisegeek.com/what-is-bose-einstein-condensate.htm)
If we put all these factors to gather, I believe that in the center of these clouds, liquid spheres of 'Superfluids' and/or 'BEC' start to form due to the extreme cold. These Spheres start to have an increasing gravity force and start to attract all the remaining parts of the cloud. As over time the dust is cleared a new solar system remains. When the central sphere loses it's protection from all incoming light it starts to heat up and the Superfluid starts to vaporize and the solar body starts to emit light, shine. The fluidness of the core generates an immense Vortex that generates the magnetic field.
Note: For the 'Superfluidness' that rolls against gravity it might be because of it's density, that the substance is pushed forward by the graviton-like emitted particles, atmospheric pressure keeps it grounded. For normal matter the gravity particles (8) can fly through the latices and apply downwards pressure.