Sounds like a good system until the Federalist Society and a generation of Christian judicial activism showed up and gave us a handful of partisan judges.
I've asked elsewhere, but is there valid evidence (like statistical evidence within a reasonable level of uncertainty) that the courts are not apolitical? I wouldn't be surprised if that's the case, it's just that I've never seen it presented as anything other than anecdotal.
If so, what's the solution? Term-limits on judges? But then doesn't that ensure they will be even more politicized?