Well even for a guy who's had that fight a few times, Doomsday should still be a problem.
Plus, if this is the 52 version of Doomsday (and it'd be weird if it wasnt), there's a whole bucket full of new tricks that Superdad hasn't seen. Unless he saw what the "new" Doomsday can do while watching his doppelganger get turned into a monster on the news.
That said, I do really hope that they play up the guy's experience. If the only differences in how they write Superdad from the normal Superman is that he's got a family and is a little more mellow, then what's the point of doing this?
If we have to have Superdad, then let him showcase his extra decade of experience he has over his younger counterparts. This is a guy who should be ten steps ahead of everyone. If it isnt a matter of "Oh yeah, something like this happened on my world, and we did X,Y, and Z to fix it" then it should just be a matter of age and raw experience. He should be the guy people start calling before they call Batman for answers.
"Oh, hey, there's a giant hypermoth attack timelines!" "Really? Well, call up old man Kent, I bet he's dealt with that before!"
ring ring
"Kent here. Hypermoth? As a matter of fact, I did see that one once. All you gotta do is throw a robot football from the future at it. If Booster Gold can handle it, and mine already did, Im not even gonna bother showing up. Call me if it gets out of hand, I'll be sipping ice tea and playing catch with my boy!"