Is one allowed to teach in a conservative or reform school?
As a general rule, it is unacceptable to teach in such a school, regardless of where it is situated, unless the school is absolutely independent from the conservative temple, and the Jewish studies in all classes are in a kosher manner.
See Igros Kodesh 14:5298. 14: 5188. 13:4677. 11:3403. 11:3482. Hiskashrus #302.