No...I don't think the sceptics dismiss all the texts in the Bible because they don't have the time or will to read them through...
I believe it's because they are not letting their lives be guided by some documents whose origins are highly doubtful.
(Who
really wrote the stuff? Jesus' followers? You don't know that.)
Why would God need paper to subdue humanity anyway, like he apparently did in the old days of the Bible, when he was "active".
Nowadays, we don't see or hear much from God in that drastic way older civilizations did.
Today, the best and most usual arguments are no better than before;
wars, diseases and misery are Gods punishment for our sins and "you just wait and see when you die" about going to heaven or hell.
Scaring people of the afterlife judgment is a smart move- no one can control the validity of that threat.
The Bible, as a sceptic, I am actually reading through. Right now, I'm on page 313.
Know thy enemy, you know.

How revealing you message is. Indeed Wars and Diseases and Misery are punishments for our immorality. But they are not sent by God to punish us, any more than the child playing in the road was hit by a truck his parents had hired to run him over because they looked out the window and saw the kid disobeying their order to not play on the road. The punishment is the consequence of doing what our parent God had warned us not to do.