Perhaps, but the strong religious motivations for the early colonies is well documented. [1]
> Many of the British North American colonies that eventually formed the United States of America were settled in the seventeenth century by men and women, who, in the face of European persecution, refused to compromise passionately held religious convictions and fled Europe.
Even from the article you link quotes a wide range of religious beliefs:
> Of the 55 delegates to the 1787 Constitutional Convention, 28 were Church of England (or Episcopalian, after the American Revolutionary War was won), 21 were Protestants, and two were Roman Catholics (D. Carroll, and Fitzsimons).[19] Among the Protestant delegates to the Constitutional Convention, eight were Presbyterians, seven were Congregationalists, two were Lutherans, two were Dutch Reformed, and two were Methodists.
And of special note most of the prominent Founding Fathers most Americans would recognize were either anti-clerical Christians or not specifically Christian or Deists:
> A few prominent Founding Fathers were anti-clerical Christians such as Thomas Jefferson,[20][21][22] who constructed the Jefferson Bible, and Benjamin Franklin.
> Historian Gregg L. Frazer argues that the leading Founders (Adams, Jefferson, Franklin, Wilson, Morris, Madison, Hamilton, and Washington) were neither Christians nor Deists, but rather supporters of a hybrid "theistic rationalism".
So it may have been poor wording on my part, but I don't think it unfair to consider religious freedom an important consideration for the Founding Fathers.
[1] https://www.loc.gov/exhibits/religion/rel01.html