This prayer is (mostly) not a prayer about winning or getting other people on your side. It's a prayer that we learn to work together to create a better future. It incorporates a pledge to do one thing for healing the world, for tikkun olam.

"Seek the peace of the city
    where I cause you to roam
    and pray for her to YHVH (Hashem/Adonai/God),
    for in her peace you all will have peace."

May it be Your will, YHVH, that votes
    be counted faithfully
    and may You count my vote
    as if I had fulfilled this verse
    with all my power.

May You give a listening heart
    to whomever we elect
    and may it be good in Your eyes
    to raise for us a good government
    to bring healing, justice and peace
    to all living in this land
    and to all the world, and upon Jerusalem,
    a government that will honor the image of God
    in all humanity and in Creation,
    for rulership is Yours.

Just as I have participated (or: will participate) in the election
    so may I merit to do good works
    and to repair the world through all my efforts,
    and through the act of... [fill in your pledge]
    which I pledge to do
    on behalf of all living creatures,
    in remembrance of the covenant of Noah's waters,
    to protect and to not destroy
    the earth and her plenitude.

"May the pleasure of Adonai our God
    be upon us, and establish
    the work of our hands for us,
    and make the work of our hands endure."

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Special addition for the 2020 election (in Hebrew and transliteration in the pdf):

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The synchronicity in 2006 of the election with the end date of Noah's flood inspired me to write a voting prayer that focused on the covenant after the flood, which was a covenant with all living creatures.

Each person has their own way of understanding tikkun olam, so please change those lines according to your own vision of a perfected world. What is important is that we need both to vote and to take action to make our prayers a reality. What can you personally commit to doing? Pick something you can fulfill and incorporate it into your prayer.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The version I wrote for inauguration 2008:

May it be good in Your eyes to give a wise heart to this government to bring justice and peace to all the inhabitants of the world and to Jerusalem, as it is said, "The one who rules through justice upholds the land" (Prov. 29:4), and may its rule be for good and blessing for rulership is Yours!

As I stand in witness of this inauguration and in prayer, I also pray that I may seek peace for this country, and I pledge to..[fill in your pledge]... on behalf of all living creatures and in remembrance of the covenant of Noah's waters to protect and to not destroy the earth and her plenitude. May it be Your will that I do good deeds and repair the world with all my actions...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~