Religion is not the antithesis to governance. (Constantine)
No, I mean a state that does not establish any religion, does not hinder the peaceful expression of religion, and does not favor citizens of one religion over another.
I am worried at the assumed logic here; the more secular a state is the better for all. America isn't exactly secular.
It is secular in the sense the I put forth. It is rightly not secular in the sense that all religion is banished from government.
Here, even Atheists enjoy the rights afforded to them by principles extracted from Jewish/Christian philosophy. As much as we try to separate Church and State here we still fundamentally owe our current governmental philosophy to religion, which is, where the concept of justice is fundamentally defined.
Hinduism does not contain the same principles of justice as Christianity. Consider that before you start advocating a Hindu-dominated government.