If you are a young conservative academic, the trick is to keep quiet about politics (don't be provocative or outspoken) until you get tenure. Then speak your mind. (The real trick to getting tenure is to make sure your students like you, publish enough—and get along well with your colleagues.)
As my department head used to say tenure guarantees a job but not an office or salary.
If you somehow manage to slip through the system and get tenure, being a conservative means a lifetime of biting your tongue or ostracism.