Before reading any political commentary, it's always nice to know where the author is coming from. So here, without further ado, is a brief summary of the biases that I recognize in myself. That isn't to say I'm not biased in other ways. These just stand out.
First, let me take care of the big biases. I'm technically a Republican. If two candidates for a particular office are truly equal in my eyes, party loyalty wins out. However, that is rarely the case. Most times, I perceive one of the candidates to be a better man or woman for the office. That individual receives my vote regardless of party affiliation. In my time, I've voted for Republicans, Democrats, Libertarians, and Constitutional Party candidates for various elected offices. I expect that mix to continue for the foreseeable future.
I try to evaluate all aspects of each individual's campaign that are relevant to the office they are running for and not dwell on just one or two issues. I particularly try to filter out campaign noise about hot topics of the day. While my opinion may or may not match a particular candidate's opinion, if their desired office won't affect that topic it is really inconsequential. If their office will make a difference on a particular hot topic, that topic will get a bit more weight in the decision making process. I hope you do the same.
Why Republican? Living in Wyoming, you may as well belong to the Republican party so you can have a say in the primary election since it is very likely the Republican candidate will win the general election. There are exceptions to that rule. We've had some good Democratic governors who have been re-elected due to their broad based popularity. Party weighting does vary from place to place in the state as a couple of counties do lean more Democratic. Where I live, things are pretty solidly Republican. State wide, the "Republicans will win" rule is generally true enough that it is the party I selected.
I'm fiscally conservative, but socially pretty liberal. While I am Christian, I find that in most offices that bears so little weight today that although it would be a nice black and white test for candidates it ends up being fairly useless. That there seems to be little difference today between people who aggressively campaign as Christians and those who don't is a sad commentary on the state of Christianity today. I also really think that all candidates should live up to their pledges to support and defend the Constitution of the United States and their respective State Constitutions depending on the office. They are generally fine old documents with a lot of truth in them that everyone should be paying more attention to.