When you film BattleRecorder action with a program like FRAPS or wegame, you notice that there are a lot of ugly non-game-related things on the screen: things like the players disconnecting from the server, the nametags above players' heads, the name of the currently selected soldier, etc.
To disable all of these (in order to get a clean, professional image), do the following two steps. Step 1 is quick, easy, and takes care of most things -- you probably just want to do that. Step 2 is for the truly paranoid amongst us.

1. Press the tilde key ~ to bring up the console and type:

renderer.drawHUD 0

This removes EVERYTHING, including that handy commo rose for selecting whether the file is playing or paused, and at what speed it is playing.
To turn the HUD back on, type:
renderer.drawHUD 1


2. To stop drawing nametags above players' heads, do the following:
- Back up the file: Open up C:\Program Files (x86)\Electronic Arts\Battlefield 2142\mods\bf2142\GameLogicInit.con somewhere safe
- Create a file on your desktop named "GameLogicInit.con"
- Copy the contents from the original file into the new one on your desktop
- Add the following line in your new file:

renderer.drawnametags 0

- Save the file on your desktop
- Copy that file, and paste it into the original directory mentioned above -- do overwrite the old file

This will remove all tags, friendly and enemy, from the game.
Do note that you can't play on ranked servers after doing this as the game is considered modified. So, when you're done filming your sexy footage, go ahead and copy the backup into the directory, and overwrite your modified file. That should put everything back to normal.

That's all.

Before:




After: