Is it permissible for a person to liken himself to the curse of God that pursues liars and oppressors, intending that he will expose and pursue them?

The curse of Allah is His punishment that befalls those whom Allah wills to expel from His mercy. So, whoever is cast out by Allah will not be touched by His mercy and will abide eternally in torment. As for mere pursuit and exposure, they do not amount to the meaning of a curse, and to describe them as such is an exaggeration that is not appropriate. It is advised to avoid this expression.