Are atheists really the ones pushing for the removal of religion from the public sphere?

Many conservatives claim that evil secularists (especially us darn atheists) are out to remove religion from the public sphere. That's obviously why such God-hating atheists like Nedow are constantly starting lawsuits to get religion out of schools and government.

While it's certainly true that atheists frequently do attempt to uphold the separation of church and state, I think it stands to actually see if they're the most frequent belief system pushing for it, or if, in fact, those of theistic beliefs do so even more frequently.

To answer this question, I found a list of court cases concerning church/state separation. I limited my inquiry to those that actually reached the supreme court since many earlier ones that never did stood to be overturned or were eventually consolidated with others. In chronological order, here's my findings:

1946

Everson v. The Board of Education of the Township of Ewing
Unspecified “tax-payer”

1961

Torcaso v. Watkins
Atheist

1962

Engel v. Vitale
10 parents of which an unknown number were religious

1968

Epperson v. Arkansas
Theistic

1969

Abington Township School District v. Schempp
Unitarian (consolidated with Atheist in Murray v. Curlett)

1971

Lemon v. Kurtzman
Unknown

1972

Wisconsin v. Yoder
Amish (supported legally by a Lutheran lawyer)

1985

Wallace v. Jaffree
Unknown

1987

Edwards v. Aguillard
Various teachers, parents, and religious leaders

1992

Lee v. Weisman
Jewsish

2000

Santa Fe Independent School District v. Doe
Mormon & Catholic

2002

Zelman v. Simmons-Harris
Unknown

2004

Elk Grove Unified School District v. Newdow
Atheist

2005

McCreary County v. ACLU of Kentucky et al.
7 plaintiffs of unknown religious affiliation

Kitzmiller v. Dover
11 parents of which an unknown number were religious

Van Orden v. Perry
Unknown

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So it turns out that of 8 of the 16 cases involved those with theistic beliefs as plaintiffs.
(NOTE: I have included those cases which say something to the effect of "an unknown number of which were religious". In my searching I found that articles would not specify how many of the frequently multiple plaintiffs, held a religious affiliation.)

When we count the number of cases started by atheists, we find that only two cases fit this criteria.

The rest of the cases (6) I couldn't find any information on the plaintiffs (
If anyone knows of the religious affiliation of the cases I have marked as unknown, please let me know so I can update the information).

So looking at the breakdown from these 16 cases, 50% of cases reaching the Supreme Court are started by people with religious affiliation. Only 11% are not. The remaining 39% were undetermined.