There is no extra air space. You already built up a solid layer of co2, so there's no need to get rid of head space. Consider your beer safe, until you move it. If you move it, you move the co2, and risk oxidation and infection. The reason someone might tell you to have as little head space as possible is if you're doing a secondary. You want as little head space as possible in a secondary to lessen the risk of oxidation. The reason is that you're killing the co2 and introducing oxygen, and if fermentation is complete, there's nothing to get that co2 layer up again.
As you read more and more on HBT, you'll notice that secondaries are not necessary, except for additions, such as fruit, spice, or dry hopping. Of course, there are people that will fight to the death that secondaries are necessary. Most people will tell you that a good 3 to 4 weeks in primary will result in a great beer. Personally, I go 4 weeks no matter what, unless I need to have a beer ready for a holiday or get together or something. But I generally time things so that I have 4 weeks in primary and 3 to carb. Most people here do something similar.
So regarding your batch, and your pics, it looks totally normal, and there's no need to move your beer. The stuff on top will eventually settle to the bottom. Give it 4 weeks in primary, then bottle and carb for a good 3 weeks, and you'll be drinking a great beer.