2. Rand encourages selfishness.
For Rand, there is no higher good than pursuing one's own happiness. The problem with that philosophy is that it encourages workers to view their personal success as being far more important than the group's success — and that kind of self-centered thinking is fatal to getting team members to work together
3. Rand creates fanatics.
While some Rand fans have a nuanced view of her, there are plenty of people who glom onto her writing with evangelical intensity. Their quest to convince everyone else in the workplace that Rand was the greatest thinker and philosopher of the 20th century (or maybe of all time) is distracting, annoying and counter-productive.
4. Rand alienates the religious.
Rand's value system is the antithesis of Judeo-Christian teaching. For example, while Jesus says "blessed are the poor," Rand calls them "moochers."
Top-quality workers who value their religious faith might feel out of place in a work environment that seeks to canonize Rand's brand of atheism.
5. Rand discourages charitable giving.
Rand devotees criticize CEOs who give to charity because "you have no moral obligation to 'give back,' because you didn't take anything in the first place."
For many workers, though, an altruistic desire to "give back" is a strong motivator. Such workers respect leaders who know that others contributed to their success.
Please not that I am not making a judgment on the philosophical validity of Objectivism or Ayn Rand's work in general. I'm only pointing out that if you promote her writing inside your own company, you're shooting yourself in the foot.