Although MSM has reported for months that passage of a federally-funded embryonic stem cell bill by the US Senate is a done deal, Reuters is now reporting otherwise. Specifically note the last paragraph, which gives a helpful hint in stopping this sort of legislation in the states:

Despite a veto threat by President Bush, the embryonic stem cell bill cleared the House in May with a surprisingly broad bipartisan margin. Backers believed they had momentum in the Senate and a vote was tentatively set for this month.
But now bill sponsors say there is only the slimmest of chances that the Senate can take up the bill before breaking for its August recess.
It bogged down in a procedural morass involving a half-dozen other stem cell and cloning bills — some written with the apparent aim of peeling away support from the House-passed legislation.

But it will be back, so remain vigilant.
As an aside, this article includes a few common mistruths. One and two are:

Bush in August 2001 allowed research on a limited number of existing stem cell lines, most of which proved unsuitable and all of which turned out to be contaminated with mouse cells. But he has opposed further research on ethical grounds.

This paragraph infers that President Bush banned new embryonic stem cell research in 2001, which he did not. He only banned federal funding. Private investors are perfectly free to finance ESCR.
Also, all embryonic stem cell lines are contaminated with mouse cells, one of its unreported problems.
A third fallacy:

There are currently about 400,000 leftover embryos.

Rand Research reported that only 2.8 percent – or 11,000 – embryos are available for donation nationwide.