Stevenson dropped Sho Ishikawa twice in the second and fourth rounds en route to a sixth-round technical knockout.
Referee Allen Huggins halted the fight at 1:35 of the 6th round due to Yoshino's lack of aggression.
Yoshino's protest was met with cheers from Stevenson's hometown crowd.
Stevenson's victory earned him a 135-pound title shot.
Stevenson challenged reporters to get in the ring with him to prove his power.
I knew it was going to be a short night when I saw him go down, but I was trying to stay patient and make sure every shot counted.
Stevenson becomes WBC mandatory challenger for Haney or Lomachenko.
Stevenson is ranked third by WBC, Lomachenko number one, Yoshino fourth.
Stevenson dropped Yoshino with a left-right combination in the fourth round, but he beat Huggins' count and made it to the fifth round.