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Democrat Tammy Baldwin is the incumbent senator for Wisconsin.  She became senator after defeating former governor Tommy Thompson in the 2012 election by a wide margin.
Baldwin describes herself as a progressive.  As of 2012, her voting record made her one of the most liberal members of the house.  She made history by being the first openly gay person to be elected to US senate.
www.tammybaldwin.com/about/
www.votesmart.org
www.ballotpedia.org

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Republican nominee Leah Vukmir was first elected into the Wisconsin State Assembly in 2002.  She helped with the passing of Governor Walker’s Act 10 legislation.  In September of 2017, she announced she would be seeking the 2018 Republican nominee for senate.
As far as ideology, Vukmir is a solid conservative.  Her goal as stated on her website is "to bring about real conservative change for Wisconsin and for America."
www.leahvukmir.com/meet-leah/
www.votesmart.org
www.ballotpedia.org

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Wisconsin has a population of 5.8 million people.  The median age is 39.1, with a female to male ratio of 50.3% to 49.7%.
86.2% of the population is Caucasian, 6.3% is African American, 2.6% are Asian, and the remainder are other or mixed.
71% of the population is affiliated with a christian-based faith, 4% are affiliated with non-christian faiths, and the remainder are not affiliated with any particular faith.
The median income is $52,893
www.worldpopulationreview.com
www.ballotpedia.org

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Wisconsin suffered a lower voter turnout in the 2016 election.  Part of the reason why may be the 2011 Act 23 developed by Scott Walker.  This requires voters to present approved photo ID to cast a ballot.
Wisconsin allows voters to request a ballot by mail, and also offers early voting.
www.democracy.works
www.politifact.com

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The following figures are from the August 15-19 2018 poll for Marquette Law School in Milwaukee.
Survey sample size is 641 likely voters and the margin of error is plus or minus 4.5.

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The rest of the poll can be accessed at https://www.jsonline.com/story/news/blogs/wisconsin-voter/2018/08/23/purple-wisconsin-latest-poll-shows-state-split-over-re-election-races/1071416002/

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There are multiple interest groups spending money on this election.  Some include the NRA, We Are Wisconsin, and Americans for Prosperity.
www.wisdc.org

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As expected, Leah Vukmir supports Trump and Tammy Baldwin does not.
In the 2016 election, Trump was narrowly favored by Wisconsin with his vote at 47.9% and Clinton's at 46.9%.
www.politico.com

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Tammy Baldwin is endorsed by National Organization for Women, Emily's list, United  Auto Workers.
Leah Vukmir is endorsed by National Rifle Association, Winning for Women, Freedom Works
www.votesmart.org

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From information on their websites, the candidates seem to be focused on different issues in the state.  Baldwin puts a special emphasis on healthcare, as well as making sure veterans are supported.  Vukmir is concerned about education standards in the state.
Most of these issues are local.

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www.tammybaldwin.com
www.leahvukmir.com/meet-leah/
www.votesmart.org
www.ballotpedia.org
www.democracy.works
www.politifact.com
www.wisdc.org
www.politico.com
www.jsonline.com
www.realclearpolitics.com

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I believe that for the 2018 Wisconsin senate race, Tammy Baldwin will defeat Leah Vukmir. From my research, Baldwin is favored in most public polls and election predictions. For example, as of Friday November 2nd in an Emerson poll, Baldwin has 53% support and Vukmir trails with 44%.
Additionally, Wisconsin has a relatively high opioid abuse rate, which Baldwin has been so vocal to address and reform.  This and Baldwin's push for affordable healthcare gives her an advantage in my opinion.
From the other perspective, although Wisconsin is very centrist, it has a record of voting Republican slightly more.  This is a plus for Vukmir, along with the fact that a greater percentage in the Marquette poll described themselves as Republican.
However, in the end, I feel that Baldwin has the majority support, and will therefore win.