Your question tweaked my curiosity, so I did some searching. Found a really nice site to start state government searches from, http://www.law.cornell.edu/opinions.html
So thanks for waking me up on a Monday.
BTW, from the Alabama Constitution:
Election of supreme court justices, judges of circuit courts, judges of probate courts and chancellors.
The chief justice and associate justices of the supreme court, judges of the circuit courts, judges of probate courts, and chancellors shall be elected by the qualified electors of the state, circuits, counties, and chancery divisions, for which such courts may be established, at such times as may be prescribed by law, except as herein otherwise provided.
Terms of office of supreme court justices, chancellors and judges of circuit and probate courts.
Except as otherwise provided in this article, the chief justice and associate justices of the supreme court, circuit judges, chancellors, and judges of probate, shall hold office for the term of six years, and until their successors are elected or appointed, and qualified; and the right of such judges and chancellors to hold their offices for the full term hereby prescribed shall not be affected by any change hereafter made by law in any circuit, division, or county, or in the mode or time of election.
So, your herring was very red indeed. Oh, and I didn't really choose Alabama, I simply started alphabetically and didn't even need to look at a second state to find a counterexample to your premise.