There's only 2 people in the DC universe that can give

fits like no other:
1.
& 2 being Batman. Batman's intelligence is at the same superhuman levels as

's strength, and he's sworn on his life that the day that

ever crosses the line, it won't be "up to Batman to stop" Superman, it will be "Batman stopping" Superman... period. I'd even say Wayne would place stopping

as a CLOSE 1b to battling Joker as the sworn duties that he gets off on the most. And unlike Lex, Batman ain't trying to stop

with cartoony villain sh!t, it'll be in a protective suit and a fistful of green kryptonite
And yes,

legit knows Batman won't hesitate to step to him if the moment ever calls for it.