I'm really tired of this right-wing meme. Slate did a detailed analysis of this issue, and found that while a disproportionate number of Ninth Circuit rulings were overturned by the Court, an even higher proportion from the Third and Fifth Circuits were overturned. Out of 6,387 on-the-merits decisions in 2006, the Supreme Court reversed 18. That's less than 0.3 percent of their on-the-merits decisions (and, of course, an even smaller proportion of the total Ninth Circuit decisions).
The likelihood of any given Ninth Circuit decision being overturned is vanishingly small.