To me, the term "prejudice" has to do with negative preconceptions based on a person's skin color, ethnicity, etc. I don't put "registered sex offenders" in the same category at all. The reason: Folks who have convicted of a "sex offense" have committed an act that has resulted in the classification. In other words, they did something society deems "very bad" and put themselves on the list. Moreover, they are generally "registered" because they are considered to have a high probability of committing the offense again. (Yes, I recognize that folks can be falsely convicted. I am not intending to address that here.)
I very much believe that folks who have "done their time" should have the opportunity to re-enter society and attempt to live a productive life. (Otherwise, we might as well lock everybody up forever.) Registered sex offenders, therefore, must be able to live, work, shop, etc. However, due to the nature (and huge variety) of "registered sex offenders," I fully support restrictions that keep them certain distances from various locations, such as schools. I also would not blame anybody for choosing not to go near a place where such folks are known to reside. If I were asked to shop an apartment or motel where such folks were know to reside, I probably would (if the MSC met my fee requirements). Honestly, I would not be comfortable with my wife doing so.
Put another way: I would have no problem allowing somebody who is white, black, Latino, Jewish, gay, Christian, Islamic, atheist, etc. babysit my granddaughter. Unless, however, that person were a registered sex offender. I don't see that as "prejudiced." I see that as protective, cautious, and obvious.
Hard work builds character and homework is good for your soul.