the phrase "fall into sth's deception", is it correct?

EDITED
Perhaps "...fall into its web of deception" ...is slightly better.
The style of the rest of your context might indicate alternative phrases like :
"be entrapped by...",
"suffer the bondage of...",
" be irrevocably transfixed by..."

There's not any convenient phrase that i can think of. However, i would like to point out that you're not using the common preposition. If one is being fooled about something, one is said to "fall for something," To fall "into" something simply means to become involved in it--there is no conotation of being fooled or swindled.