Now Jephthah the Gileadite was a mighty man of valour, and he was the son of an harlot: and Gilead begat Jephthah.  And Gilead’s wife bare him sons; and his wife’s sons grew up, and they thrust out Jephthah, and said unto him, Thou shalt not inherit in our father’s house; for thou art the son of a strange woman. (Judges 11:1-2 [KJV])
A strange woman is defined in its first occurance in the kjv. We see from the verse above that a strange woman is a harlot.
The scripture tells us how to deal with a strange woman.
(Proverbs 5:1-23 [KJV])  My son, attend unto my wisdom, and bow thine ear to my understanding:  That thou mayest regard discretion, and that thy lips may keep knowledge.  For the lips of a strange woman drop as an honeycomb, and her mouth is smoother than oil:  But her end is bitter as wormwood, sharp as a twoedged sword.  Her feet go down to death; her steps take hold on hell.  Lest thou shouldest ponder the path of life, her ways are moveable, that thou canst not know them.  Hear me now therefore, O ye children, and depart not from the words of my mouth.  Remove thy way far from her, and come not nigh the door of her house:  Lest thou give thine honour unto others, and thy years unto the cruel:  Lest strangers be filled with thy wealth; and thy labours be in the house of a stranger;  And thou mourn at the last, when thy flesh and thy body are consumed,  And say, How have I hated instruction, and my heart despised reproof;  And have not obeyed the voice of my teachers, nor inclined mine ear to them that instructed me!  I was almost in all evil in the midst of the congregation and assembly.  Drink waters out of thine own cistern, and running waters out of thine own well.  Let thy fountains be dispersed abroad, and rivers of waters in the streets.  Let them be only thine own, and not strangers’ with thee.  Let thy fountain be blessed: and rejoice with the wife of thy youth.  Let her be as the loving hind and pleasant roe; let her breasts satisfy thee at all times; and be thou ravished always with her love.  And why wilt thou, my son, be ravished with a strange woman, and embrace the bosom of a stranger?  For the ways of man are before the eyes of the LORD, and he pondereth all his goings.  His own iniquities shall take the wicked himself, and he shall be holden with the cords of his sins.  He shall die without instruction; and in the greatness of his folly he shall go astray.
How are we to deal with a strange woman ?
We are told to remove our way far from her  and not come near to the door of her house. We are also told to depart from the words of her mouth  so it can be good to not talk to her and not take her advice.
Her ways are moveable, that thou canst not know them  so don't try to understand her just stop focusing on her and stop talking to her.
Since Mystery Babylon is the mother of harlots the way to deal with a strange woman could also apply to Mystery Babylon.