I found the Senate version (S 2082) on
Thomas. I did not find the House version.
You should try reading the bill for yourself, rather than swallowing the news reporting whole. The report you cite makes it sound as if the bill requires acknowledgement of God as "the sovereign source of law by an official in his capacity of executing his office". What it actually attempts to do is protect any official who expresses that opinion from being hauled before the court for it.
Seems to me that all they are trying to do is guarantee judges and other officials the same freedom of religion that the rest of us enjoy. As such, I can't personally support the notion behind this bill, because I've never thought it made sense to pass a new law to address the fact that an existing one (or Constitutional protection) was being violated.
Of course, with so many anti-Christian voices today, and so many people genuinely hoodwinked about the true intention of the non-establishment clause, it doesn't surprise me that some lawmakers would consider something like this necessary.
But you feel free to consider this worrisome if you like. Seems you have a real hard-on for anything that has to do with God.