No, He withholds judgment on unrepentant sinners as well -- in order to give them the fullness of time in which to repent. He died for unrepentant sinners. While He was with us, he dined and fellowshipped with unrepentant sinners. He loves unrepentant sinners. Those are the ones He goes after.
Re: God will send the sinners to hell and the righteous to heaven
See Luke 15.