With thanks to sweetpearacer for her assistance figuring out the division structure.
Rather than realign, expand the AL by two teams. Ideal locations IMO would be Indianapolis and Charlotte. Then go to a four-division-per-league system, with (if you insist) a wild card who will playoff with the worst division winner in the bye round. Alternatively, go to a two-division-per league system, with top two from each division in the playoffs.
AL East: Boston Red Sox, Cleveland Indians, New York Yankees, Toronto Blue Jays
AL Central: Chicago White Sox, Detroit Tigers, Indianapolis [Name], Minnesota Twins
AL South: Baltimore Orioles, Charlotte [Name], Kansas City Royals, Tampa Bay Rays
AL West: Los Angeles Angels of Anaheim, Oakland Athletics, Seattle Mariners, Texas Rangers
NL East: New York Mets, Philadelphia Phillies, Pittsburgh Pirates, Washington Nationals
NL Central: Chicago Cubs, Colorado Rockies, Milwaukee Brewers, St. Louis Cardinals
NL South: Atlanta Braves, Cincinnati Reds, Florida Marlins, Houston Astros
NL West: Arizona Diamondbacks, Los Angeles Dodgers, San Diego Padres, San Francisco Giants