How might being disciplined for participating in a non-violent protest on a public college affect my academic career? I go to a government-owned school that has certain policies regarding a student's speech, namely:


That speech shall not be discriminatory/offensive.
That on-campus protests take place only at a "Hyde Park" location in the student center.


Suppose I decide to form a protest and violate rule #2, and perhaps unintentionally violate rule #1, incurring a disciplinary action of record. How would my doing so affect my ability to pursue a degree at a different school?
Probably not at all.  Most academic institutions support freedom of speech.  However, this depends on the goal of the protest and the type/location of the hypothetical institution.  For instance, I imagine some religious institutions might not hire someone who had protested for abortion rights.