Yes, you can import the mission into a new one. That option is available on the main mission select screen.
However, that doesn't always help because sometimes you need characters from multiple missions, and sometimes not everything is imported properly (unless the bug has been fixed, a few of the contacts would not import every time).
In that case what you need to do is use a program like FRAPS to screenshot all of the sliders (you can't use the in-game screenshot because it does not capture the UI), and manually re-enter them.
Or do what I do, and make a spreadsheet for all your characters and their costume settings (using percentages from 0-100% to represent slider settings, with 0% = far left and 100% = far right). I had to do this so I could port one of my toons into "Ghosts of War, Part V" as an NPC.
Part I: Available for Fed and KDF allies
Parts II and III: In development
i went down on the missions,then import mission named the new mission and it copied only text of the mission you see when you get it ( mission info)
That's really strange. I guess if I were you I'd try doing it again with a different name, and if that doesn't work then it's only a couple of days until S7 is out, at which point you can import contacts anyway.