I did it. I see, this template works also for MSVS 2010 and 2012.
Hm... By default, MSVS 2010 can not work with .net 4.5 or 4.5.1. But I see - my "Hello World" project, based on this template and written in VS2010 was sucessfully build and for AutoCAD 2015 too (through its batch building). I loaded its compilation result into AutoCAD 2015 successfully - it works fine. It is possible, because the script of batch building by default uses the tools from the "%PROGRAMFILES(x86)%\Microsoft Visual Studio 12.0\Common7\Tools" directory. That virtual machine has installed MSVS2005-2013. So you can not set .Net Framework 4.5 or 4.5.1 as a current in the MSVS2010 and debug for them, but you still can compile your code for them through its project batch-building script.