The Illinois Libertarian Party is running Chad Grimm for State Representative in the 92nd district, which includes Peoria. No Republican is running in this race, so if Grimm gets on the November ballot, he is very likely to poll at least 5% of the vote, and make the Libertarian Party ballot-qualified in this district for 2014. See this story. Currently the Libertarian Party isn’t ballot-qualified in any legislative or U.S. House district. When Illinois goes through redistricting, all of the qualified parties that are qualified in just a single district lose their qualified status, because invariably the district lines change somewhat. When the district changes its boundaries, the state assumes that it is an entirely new district and the old status vanishes.
Grimm will need 1,500 signatures by June 25. The Libertarian Party has a lawsuit pending against that deadline, however, so it is possible it will get more time. Thanks to Robert Allensworth for the link.