First, you can't move the [Name] tag to the [Series] tag, because the [Name] tag must always have a value in MC. Always. The way MC works if the available EPG data only includes the [Series] field is that it puts the series name into the [Name] tag.
You can however easily copy the [Name] tag to the [Series] tag. Just highlight the programs that you want to change, Rename (edit, F2) the [Series] tag and put in the expression "=[Name]" without quotes, and the data will be copied over.
However, that is by no means the best way to handle Documentaries. I would suggest that you search the forum for "Documentary" and "Documentaries" to find some solutions, as it has been discussed before, and there are some hints on how to manipulate metadata (tags) in those discussions.
For example, to add "Documentary" to the [Genre] tag, while retaining all other Genre tags in the list, put the formula "=[Genre], Documentary" into the [Genre] tag and hit enter.
Now your screenshot showed the "Customise View" dialogue in Standard View, but I assume that you want your documentaries to show up in Theatre View grouped as you want. Yes?
Create and Edit Theatre View views under Options>Theatre View>Items to show. You can create a view under Standard View, and then add that view to Theatre View if you want though.
You could set the [Media Sub Type] tag for all documentaries to "Educational", then create a view that only shows that [Media Sub Type], but generally if there is "Documentary" metadata in your EPG, it will be in the [Genre] tag. Plus if you change the [Media Sub Type] tag then the "Get Movie & TV Info" function won't work.
The easiest way might be to copy the "Shows" view in Standard View (right click, drag "Shows" to "Video" and drop, choose "Copy") to create a new view, rename it "Documentaries", then in "Options>Theatre View>Items to show" click Add and select "Library Item From Standard View", and pick your "Documentaries" view, then edit it to include both "TV Shows" and "Movies", but only those that have a [Genre] of "Documentary" as per the first image.
Then make sure it has the "Series" Library Item the same as the "Shows" view, with the Series and Season detail below. Just copy the detail from the Shows view if in doubt. i.e. The expressions used for the details. See the second image as an example.
That should give you a view that shows Documentary Series and individual programs next to each other, with drill down to Season and Episode for the series, much like the original Shows view. Enough to get you thinking. If in doubt, search the forum, and if you don't find what you need, ask back here.
Have fun.
PS: I have been beaten on the copying tag contents issue, but I'll leave that up there anyway.