Not necessarily. We could have, say, upheld the nuclear deal as-is and warmed relations with Iran. Most of the gulf states aren't particularly hostile to the place, insofar as they're not friendlier than is necessary for safety with the Saudi's, who are an actual potential threat to their independence. With the sunni revival petering out in the few contested areas (save turkey), such a pivot would give the US footing with a different ally with much better potential PR, without compromising US influence in the gulf.
I mean, it'd be a problem for turkey and israel, but an ally generating more problems than their worth is a shit ally.