What will be effect if religiosity is included in the mission and vision of an organization, and similarly if it is included in the personal or individual characteristics?
I do not think that religiosity of any kind should be part of a company mission. It might be in clerical institutions or something of that kind.
On the other hand, most religious beliefs are quite "translateable" into values, and values are a good thing to state, if you really live up to the promises you make.
According to Worden (2005), it does. Findings showed that religiosity can inform strategic leadership in various ways, and can be successfully incorporated into business activities under certain conditions. For example, from a cost-to-benefit perspective, if resistance to religious influence might exert a cost on the organization (e.g. high resistance), a leader’s religiosity can be expressed through philanthropy and thus the main business of the organization can remain secular. When there is low resistance, an approach that fully integrates religious ethics can be infused into the firm. Worden notes that religiosity can positively inform business ethics; however, it can also backfire. For example, John D Rockefeller, Sr. (of Standard Oil fame) was very overt about his religion (a practicing Baptist), but was criticized for being a hypocrite because of his ruthless business practices. Worden (2005)
Ref.
Worden, S. (2005). Religion in strategic leadership: A positivistic, Normative/Theological, and strategic analysis. Journal of Business Ethics, 57(3), 221-239. doi:http://dx.doi.org/10.1007/s10551-004-6943-y
I want to believe that a connection between strategic leadership and religiosity. A causal theory of leadership is developed within an intrinsic motivation model that incorporates vision, hope, faith, and altruistic love in the followers.
You might want to check out some recent works by leadership theorists like Fry, Sendjaya, Horsman, Drury and Black.
Does religiosity have any connection to strategic leadership?
Any organization will be impacted by leadership and religion, if there is a dominant group within that feels their behavior and actions need to be expressed. I have served on not-for-profit and business profit organizations where the top leaders shared their religion, because they felt heavily about influencing others and strategically recruiting similar people.
In my career, the organizations that were less effective in business correlated with leaders that had no religion or cared less about followers. It seemed that the leadership that shared concern for others also shared their religion and had the least turnover and the least organizational commitment. Every strategic organization has a mission that impacts people groups and usually the organization reveals their religious stance in a short amount of time. Yes, it depends on the leaders influence and leadership goals.