I finally found the time to do what I wanted to do since I discovered LineMover plugin. With a help of a very small extra code it now moves lines AND then indents them in the same way as CtrlAltI does (Auto-Indent Lines). I do not invoke Auto-Indent Lines action because it move caret to a rather wrong for this plugin place. I used some code from IDEA to do the trick, so my contribution here is very limited.
I am not sure that I need to iterate to the next version the existing plugin. I suspect some people would want to use the old one instead. So I created a new plugin entry in the repository. It's called LineMoverIndent. Two these plugins can be used at the same time, just make sure you assign different keystrokes for them. I'll post the source code later on.
Here is the link to the repository http://plugins.intellij.net/plugins/view/?id=LineMoverIndent
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