Hi Jalokin,
I'm not sure if it's related to physical sky or skydome but these moire patterns are due to projection from excessive amount of spherically oriented surfaces of an emitter. In other words, I just replaced your massive-poly spherical emitter with a simple sphere. It's more efficient with no more patterns. I e-mailed the scene back as well.

You should avoid using complex geometry for emitters. Especially if they are highly symmetric objects (like most primitives) and if they are already not directly seen. When you don't really need the precision in their look. Sufficient illumination needs less detailed emitters than we usually used to make models.
Best regards,
Tom