Arnold resident Nancy Weber hasn't decided whom she'll vote for in the Anne Arundel County executive race, but she knows one thing: "I'd like to see more Republicans in office."

Weber recently met Republican candidate Steve Schuh, a state delegate, during one of his door-knocking tours, and he said he feels the same way, responding, "Hear! Hear!"

For that matter, so does incumbent Laura Neuman, who told volunteers at a recent pep talk in Severna Park that they need to stay focused on keeping Anne Arundel County government in the hands of the GOP.

On paper, Anne Arundel remains a Democratic county — 42 percent Democrats, 35 percent Republicans, and the rest unaffiliated or belonging to third parties. But the county has a history of supporting Republicans — six of the eight county executives since the office was created in 1964 have been Republican.

The GOP is counting on one of these two — newcomer Neuman or experienced Schuh — to carry the party past the scandal of John R. Leopold, who was elected county executive twice as a Republican before resigning in disgrace in 2013 after his criminal convictions of misconduct in office.

The winner in the June 24 primary will face the uncontested Democratic nominee, former county sheriff George F. Johnson IV, in the November general election.

The state GOP has a lot at stake in Anne Arundel's results, says Nathan Volke, chairman of the county's Republican Central Committee. First, he says, Arundel can prove that a major jurisdiction in Maryland can be run with conservative values. Second, the winner could be groomed for a future gubernatorial run.

As the fifth-largest jurisdiction in Maryland, "Anne Arundel County is uniquely situated to be an example to other counties to see what it looks like to have Republican principles in action," Volke said, noting that the four larger jurisdictions — Baltimore City and Baltimore, Montgomery and Prince George's counties — are all led by Democratic chief executives.

"It's huge that we keep the county executive of Anne Arundel County," said Joe Cluster, director of the state Republican Party.

So far, the campaign to take up that conservative mantle has been, at times, personal.

The two have traded barbs about campaign tactics and ethics. Neuman sharply criticized Schuh for having former Leopold staffers work for his campaign, and Schuh accused Neuman of allowing county employees to attend a political function on county time.

Neuman has repeatedly complained that Schuh talked to her mother in an attempt to dig up dirt, while Schuh hammers away at Neuman for having a registered lobbyist for developers as her chief campaign fundraiser.

The race has been costly, too. Already, the two have spent a combined $1.2 million on radio, TV and online ads, as well as direct mail and professional campaign staffs. By comparison, the four Republican candidates for governor have spent just shy of $1.7 million, according to campaign finance records.

"And the robocalls haven't started yet," Volke noted.

There's been so much interest in the race that the Republican Party scheduled a debate between Neuman and Schuh for Friday night, following two earlier debates that drew hundreds of spectators each. The party plans to stream the final debate online.

Schuh's been building his campaign team and treasury for at least 21/2 years after twice being elected to the House of Delegates. When Leopold resigned, he applied to be the replacement, but the County Council passed him over in favor of Neuman.

Neuman was a newcomer to politics when she was appointed county executive in February 2013, having mainly worked for technology companies. She decided to run for a full term last summer and has been playing catch-up ever since.

Both candidates say their polls show the race is going their way, and both say they're willing to spend whatever it takes to win the primary.

"We'll raise as much as we can, and we'll spend it all," Neuman said.

Said Schuh: "We certainly have the resources to do everything we need to do."