In any case even the CSA Army was better than a bunch of serfs.
In a sense, yes, in another sense both armies had some similarities. The CS Army's greatest distinguishing feature from the Russian army was that its artillery was generally lousy in nature and strategic use. The Russians, by contrast, made good use of their artillery in the Crimean War. One aspect both armies shared was a greater mass of illiterate people (though a lot of USCT began the war illiterate as well), not to mention that the CS Army spent most of the war as a conscript force. The most obvious distinguishing feature of the two was that the CSA was able to wage for yeears a war on a scale equal in size to Western Europe, Russia had huge problems fighting in geographically limited areas, the CSA creating its army on the fly, Russia starting the Crimean War with the biggest army in Europe (which it never fully managed to use much of that mass as it was).
I don't think the CS Army is a good comparison to the blundering mass of Nicholas I. It's more comparable to either the Taiping Army or Solano Lopez's force.
Yup; serfs don't usually have access to guns.
I don't think it's really applicable to compare/contrast the CS Army and that of Nicholas I. Now, the CS Army v. that of the Taiping Tanguo or Solano Lopez's Paraguay, OTOH........
The reasons the latter two matter is both of them also waged war to the bitter end and were rather over-mobilized per proportion of the population, and the Taiping had the same problems of artillery that the CS Army did on a much larger scale.