Yesterday, First Lady Michelle Obama told iVillage that Barack Obama doesn’t like when his daughters watch the reality TV show ‘Keeping Up With The Kardashians’.

Now the Kardashian clan say they are shocked and dismayed at the presidential insult.

The Kardashian clan says they were completely blindsided when Michelle Obama revealed that Barack doesn’t like when their daughters watch their reality show … insisting the President has them pegged all wrong.

The K-squad is telling friends … they read Michelle’s new interview with iVillage … in which she said, “Barack really thinks some of the Kardashians — when they watch that stuff — he doesn’t like that as much.”

We’re told the Kardashians were “surprised” by the news … because Obama personally told Khloe he thought “Keeping Up with the Kardashians” was a “great show” when they met last year.

In fact, the Kardashians believe Sasha and Malia could actually LEARN something from the show … because it features girls in real-life situations facing real-life problems … health, relationships, the whole gamut.