If anybody is replacing Jeter's mantle, it would probably be Mike Trout. Big time hitter. Can run, plays "good" defense. As a bonus, he plays in a large market that attracts a good deal of attention.
Any of these players has the potential in the next 5-10 yrs to be the "face" of MLB afaic.
Clayton Kershaw
Felix Hernandez
Lorenzo Cain
Mike Trout
Jose Abreu
Andrew McCutchen
Freddie Freeman
Starlin Castro
Bryce Harper
Giancarlo Stanton
Paul Goldschmidt
Buster Posey