What are a few thousand miles to a man in love? Alex Rodriguez flew from New York to Miami for one night to wine and dine Kate Hudson at Prime 112 in South Beach, where he chatted up the Mets’ Carlos Beltran at a neighboring table. Diners were shocked to see the Yankee slugger there with the championship series just days away. But A-Rod’s ex-wife, Cynthia, and their two daughters live in Miami, and Alex also wanted to see his kids.