Thank you all for your input about democratic barracks.
As Leobon posted, the problem is much more complex than noting that even in democratic governments there are barracks.
The real problem in Civ 3 is the additon of really working new governments to the existing ones. One of the working factors for really needed new governments is corruption. The backside of this factor is, that it makes elder forms of governments mostly obsolet (exception Communism) and in CCM this factor has nearly no use, as corruption in CCM is massively reduced to overcome this "unfun" element of gameplay.
Therefore I felt, the best way to create new forms of governments is the introduction of government specific buildings and as in my eyes the barracks are the most powerful buildings in Civ 3 (what is mostly overseen with the exception if you can´t build these buildings

) this building was used (amongst others) to distingiush different forms of governments.
As Leobon said, Democracy would become a kind of an "overgovernment" for Civ 3 if under this government barracks would be as available as they are under other governments. Therefore my first thoughts were to give Democracy only one additional SW-barracks-building. In early testgames of CCM I noticed, that even this building is not needed (at least when playing games up to emperor-level) as there are many other SW-buildings that additionally work as barracks.
And there is another factor in the complex concepts of CCM that must be taken into account when speaking about the need of barracks in Democracy: In CCM you can change to each government in only 2 turns! Even to governments that have normal barracks!! When you build barracks let´s say in Communism in a city and than switch to the government Democracy, the barracks in the city can´t be used while beeing under that form of government. But when you switch back from Democracy to Communism, the communist barracks that were built in that city, are operable again.
So the real difference between Democracy and other forms that have barracks, is a limited loss of population and the loss of two turns of research. In the current CCM biq, this loss of population is too harsh for cities. Therfore in the next version of CCM there will be only one loss of population when changing to another government and no longer the current double-loss of population points (attached to the transition to Anarchy and than again when forming the new government.
For the next version of CCM the new settings for governments are still in the work.