Both groups were seeking to find the freedom to practice their religion in peace by moving to a mostly uninhabited and wild land.
Both the Mormons and the Puritains travelled to a new land in search of religious freedom.
Mormons
The first permanent white settlement in Oregon was at Fort Astoria in 1811. The Mormons arrived in Utah in 1847, 36 years later.
In Utah, they were not counterculture, because everyone living in Utah when the Mormons first moved there accepted polygyny.
Mormons found Franklin, which was the first permanent settlement, in 1860.
In 1844 the Mormons followed Brigham Young to what would become the Utah Territory.
One belief that threatened the people in Illinois was the Mormon practice of polygamy, which was seen as immoral and a threat to the institution of marriage. Additionally, Mormons believed in the concept of theocratic rule and desired to establish their own government, which made local non-Mormon residents fear a loss of power and control. Economic competition was also a concern, as the Mormons established successful businesses and were seen as an economic threat to the existing population.
Salt Lake City, Utah. The church actually wanted to call the state "Deseret" instead of Utah.
I believe you are asking about Kirtland, Ohio. There was never a large Mormon settlement in any town called "Kirkland". The main body of Mormons began to move to Kirtland in 1831 after a large conversion took place there.
The Mormons were persecuted and driven out of the eastern states by extreme violence and government orders. They moved west in search of a place where they could practice their religion in peace.
A "Mormon Settlement" is a term generally given to towns and communities that were first colonized my the Mormons in the west. Among the most famous of these include: Salt Lake City Utah, and Las Vegas Nevada.
The Mormons were being persecuted in the Eastern United States, and they decided to move West to form their own settlement, where they would be free to live as they pleased and according to their own religious rules, free from persecution.