Elections in a democratic society where they are not complete shams vest a certain amount of temporary authority in the voting populace. While I am not going to revise the Monthly Schedule of Authorities (the Prayer Calendar) again, I am going to say that Paul's explicit urging in his letter to Timothy to pray for "all men," and especially kings and those in authorities, needs to be extended to ourselves and our fellow Americans.
We need to pray for ourselves with a structured approach similar to how this website suggests praying for our government officials: for ourselves as a nation, for those voters in our particular home state, for those in our county, for those in our neighborhood, and - neither last or least - for ourselves individually.
On each of those levels, we need to pray for discernment, to see through the efforts of news anchors and their pundit guests to influence us to think the way they think we should about a particular candidate or issue. We should still pray on Saturdays, and whenever else we feel we should, for those media personnel on the applicable level, both for those with whom we agree and those we think need a lot more wisdom. (Does the Holy Spirit convict me when I say that about how seldom I have done so? Yes, but He wants me to get busy now, after asking forgiveness for past omissions.) We need to pray for ourselves, also, so that we listen with wisdom, discernment and restraint.
Just as we should pray for the courage of those in office to do what is right, without which the wisdom to see what is right isn't worth much, we should ask that of the Lord for ourselves, not only at the polls but in our conduct towards others, including online discussions as well as personal ones. We need to pray for that for ourselves individually and for our fellow citizens at each of the levels of organization. We may not have a clear idea when we pray of just how we should manifest that courage. Especially for those of us who are Christians and have the Holy Spirit within us, it may be a similar matter to what Jesus said about being brought before authorities to give testimony of Him - we may not know until we are in the moment. Remember that God is outside of time and that prayers made "ahead of time" still can have value when things happen.
Finally, a word about those fellow occupants of our country, state, county, or municipality who are not citizens. It might surprise us just who those are. By all means, we should pray for them. First of all, for their salvation or for an improved understanding of it. Second, for them to know and understand their situation and responsibilities and act honestly to fulfill them, which may be extremely painful. Here. what Jesus said very much applies about, "Judge not according to appearances, but judge righteous judgment." The person whose accent you barely understand may have aced the citizenship examination and been sworn in at the courthouse already, while the urbane and charming professional with almost no accent may be overstaying a visa on purpose. There are some who legitimately don't know that they have expired visas because they entrusted matters to an attorney who took their money and did nothing. We can complain about all these things going on to our families or to our friends, or we can take our concerns to God.
Don't take any of this as opposition to guarding our borders and building a wall where we can. We have far, far too many residing in this country who are not legally here. We have more all the time. This has to have something to do with the dire state of our nation's infrastructure, which means not only roads and bridges but water and gas and sewer mains, since as population increases the stress on our systems to bring food and water to people and take away waste must increase also. It is already such a huge problem that prayer for the people committing these illegal acts is essential. If they don't acquire restraint in themselves, it will be a hard job to enforce it upon them, especially if we have some seeking to make their political future by stirring them up to resist authority.
Prayer is warfare. It always has been. The difference is that for Christian believers the Son of God has redeemed us from sin with His own blood and made us suitable and acceptable for the Holy Throne Room to bring our requests to God. We have the privilege. He has the power. He is waiting for us to complete bringing those things together. He may take His time in fulfilling requests. He permits us to bring them back regularly when necessary. His patience is infinite, even - especially - with His children. I'm not into making huge promises about what we will see happen if we pray. He made the promises already; we need to understand Him and how He acts.
Some people appear to believe there is one perfect personality profile we will have when we reach "spiritual maturity." I do not believe that in that sense. Yes, we believers are predestined to "conform to the image of Christ." Jesus Christ was a complex person. When it was appropriate for Him to love and be tender and heal, He did. When it was necessary to rebuke slow-learning disciples or unbelieving religious officials, He did - because as Son of God, He had authority to do that. God has made each of us from the genetic stock and the family behavior patterns that give us our unique traits. We need to put those traits in His hands - after acquiring salvation entirely by faith in Him - and let Him direct them. Very often a person's "worst fault" and their "best virtue" are the same trait expressed differently, even in Scripture. Some of us will ask a prayer once and wait patiently in faith for the answer. Others of us will take it so seriously that we besiege the Throne, though persistently and respectfully. God has a purpose for each of our personalities, even while He conforms it to be a unique expression of Himself. Be yourself, and pray, and let Him be God.
A Christian man living in Southeastern Pennsylvania, USA. Came under conviction in 1978 or 1979 to begin believing the Bible is the inspired Word of God. Came to saving faith in Christ in October 1982 by confessing I was a sinner by nature and only Christ could save me.