Summary: Basically whomever put this movie package together screwed up and you can't do anything about it.
Detailed:
There are 3 typical ways to show subtitles.
1. Embedded/Overlay text on the video track
2. Forced subtitle track
3. Regular subtitle track
Normally they would use either method 1 or 2 but it is wrong to do both. However, it is a Catch-22 problem.
- If only method 1 is used, the subtitles are always shown even if you didn't enable subtitles or your video player doesn't support subtitle tracks. (However, they might not be in your language)
- If only method 2 is used, and your video player didn't support subtitles then you wouldn't get any subtitles. If it does support them, which the AppleTV does, then it will always show them regardless of your "Subtitles Enabled/Disabled" setting.
It seems that this movie uses both methods 1 and 2 which is why you see duplicated subtitles.
Method 3 is the track you can control from the Subtitles menu. If you enable the subtitles, it will show them for all the speaking parts, not just the Russian in this scene.
I hope this help you to understand what is going on but unfortunately there isn't a [legal] way to fix this.