No (R-xx)?
If all six senators are Democrats, the whole idea is dead in the water.
Any merits of the petition are irrelevant. The odds of any action supported only by Dem Senators even being debated (let alone voted on) while there is a GOP Senate majority are slim and none, and that's _before_ any brown envelopes are involved.
With no possible action on the horizon, a "petition" is completely toothless.