So you're basically saying if I go to where voting takes place AFTER the polls close with as many friends and family as I can, I can likely claim the position as precinct leader??
OK, but I have one other question..
What exactly does precinct leader do?
Well, that's how it was in my precinct. I suppose since my old precinct chair wasn't running, I was able to become chair at that point. That's why I said to go to your local Republican Party site. If there is someone who's in the position and wants to run then you'll have to run against them on the ballot.
But most precincts don't even have a leader.
I went to my primary and after I voted I asked the guy working there where the precinct party meeting took place. He showed me the room for the Republicans. I came back just as the polls closed and went into that room. It was just me and my wife. The old precinct chair came in and said she was glad that someone was taking over the slot. She handed me the precinct chair "folder" and told me to fill it out and turn it in within 24 hours. We "voted" for me and that was it.
A precinct chair is basically in charge of getting people in your precinct to the polls for your party.
But the real power comes at the convention levels.
Even if you don't become precinct chair, you can be a delegate. Each precinct has a few delegates depending on the size (mine had 10, I could've brought 9 more people in to vote with me).
First you go to your county convention. There you and the delegates all vote on various things, nothing too important. The biggest vote is for who gets to go to the state convention. With 10 delegate slots, my precinct got to send one person to the state convention. That was easy, I voted for myself and became a state delegate. But most precincts might have less, so they have to join with other precincts and they all have to vote for their state delegates. That's why you need people to go with you as delegates so that they can vote for you.
The important stuff happens at the state convention. That's where you vote for stuff like state party platform and bi-laws etc. Two very important votes are votes for who you send to the national convention, and who you send to the electoral college. These two slots determine who becomes president of the United States. At the national convention you can vote for who you want to represent the Republican Party (In Texas you have to support the candidate that your state chose in the first round, if it goes on to a second round you can then vote for whomever you want...ie Ron Paul).
If you're sent to the Electoral College you can vote for Ron Paul as the Republican choice for president, no matter which Republican candidate were to win. They make you sign a contract saying you'll vote for the candidate chosen by the National convention, but if we had enough people at that level they could take one for the team and vote for Ron Paul. There have been many protest votes at the electoral college.
Also, at the national convention you can vote for things like the Republican Party platform and members of the RNC, etc...
So precinct chair is the first step in a huge ladder that gets more power the higher you go.