No he sued them about promotion,(Dr. Adams’ third book, Letters to a Young Progressive, was published in April of 2013. In 2014, Adams v. UNCW finally went to trial to determine whether the university violated the First Amendment in 2006 by denying his promotion to full professor in retaliation for his speeches and columns on TownHall.com. He was represented at trial by David French of the ACLJ and Travis Barham of ADF. On March 20th, the federal jury ruled in Adams favor. On April 8th, the court ordered UNCW to promote Adams and give him seven years back pay. He spent most of the money on guns made by Browning, guitars made by Fender, and amps made by Mesa Boogie.)
You can be written up and even terminated for saying something to which some thin skinned bully chooses to take offense, even when no offense was intended. Unless your know your co-worker well, your conversations are best limited to stuff which is work related, the weather and sports.
And I'm not so sure that even the weather and sports are safe topics.