How can we see the CMB?

[Jeff Root]

Hubble Ultra Deep Field.

So far pretty much the same thing is seen everywhere
that is looked. I don't know whether more than one
"ultra" deep field image has been made yet. Probably
has, but either way, more will be made eventually.
I think they only do one every year or two.

-- Jeff, in Minneapolis

[Cougar]

Shouldn't the collisionless nature of CDM together with virialization of CDM particles through gravitational interaction force a certain distribution?

Yes, except for collisions, which appear to have been abundant throughout the history of the Universe.

Baryonic matter could be discounted for a first order approximation.

That may be oversimplifying. Baryonic matter will still be affecting the dark matter, even if it only accounts for ~15% of the mass of the system.

[TooMany]

That may be oversimplifying. Baryonic matter will still be affecting the dark matter, even if it only accounts for ~15% of the mass of the system.

It [discounting baryonic matter in simulations] is oversimplifying but until recently baryonic matter has been omitted to simplify simulations. Recently, in order to find explanations for lack of cusps and satellite galaxies and for the Baryonic Tully Fisher relation, at least some potential feedback affects of baryonic matter have been added to the simulations.

The behavior of baryonic matter is far more complex than the proposed non-baryonic matter and as yet cannot be simulated from fundamental properties. However a known behavior such as supernovas can be used as a feedback mechanism that affects the distribution of non-baryonic matter. There is some difference of opinion concerning whether such feedback is an adequate explanation.

[Reality Check]

It [discounting baryonic matter in simulations] is oversimplifying but until recently baryonic matter has been omitted to simplify simulations.

I do not know what you mean by "recently" and which simulations you are refering to.
The Millennium Simulation Project in 2005 certainly included baryonic matter:
Simulating the joint evolution of quasars, galaxies and their large-scale distribution has matter and dark matter parameters (see page 19).

Clusters, filaments, and voids in a universe dominated by cold dark matter published on Feb. 15, 1987 seems to have DM only..

Note that the earlier simulations do not make each particle a DM particle or normal matter particle. The 1987 paper has masses for each particle of ~10^13 solar masses!

ETA: Hierarchical numerical cosmology with hydrodynamics: Methods and code tests (1994) is about code that contains dark matter particles and a baryonic matter fluid.