That is just patently wrong. It was a reaction to the previous administration's foreign policy strategy, which was to position America as less of a world leader and more of a partner.
Conservatives frequently criticized one of President Obama's early trips as an "apology tour", and were incensed when he appeared to bow to the Saudi king.
Also, they disliked the domestic policies which had a socialized feel.
It literally had nothing to do with the civil rights movement.