A rationalist would realize that emotions don't necessarily have any deeper meaning, and are often best fixed through mundane non-emotional interventions. For instance, if you're constantly in stressful situations, you might want to try an adaptogen such as rhodiola rosea. You can fix mild depression by taking cold showers. Cut back on the caffeine, get better sleep, get more exercise. And so on.

Personally, I suspect, based on armchair evopsych speculation, that softer interventions (e.g. showing people that you care and are sympathetic) are counterproductive, if your goal is for the other person to stop being in "emotional turmoil".