The very people who have taught conflict resolution in the schools are now on the picket line. Everyone is watching to see how they handle it. We might even expect some people there to get roughed up. We don't expect this of our teachers. From a small child's view, striking teachers who behave badly on the picket line may lose respect and authority to instruct children in the appropriate classroom behavior.
Teachers are different.
While many are showing professionalism, some are not. Your students will look at you in disbelief. You will have lost credibility and will be unable to teach the very values you did not exhibit yourselves. If you expect these students to respect you, you need to respect the non-strikers, the public and anyone else affected by this. All over America we are wringing our hands and wondering why our children bring guns to school.