'personality split' is a correct and usable phrase in written English.
It is often used to refer to a psychological condition where a person displays two distinct and contradictory personalities. For example, "Joe's diagnosis revealed that he was suffering from a personality split, displaying both an introverted and an extroverted side to his character."
So when I came to England, in the fifth year of Liz's reign, first as an illegal immigrant, then as a respectable taxpayer to the Inland Revenue, my personal baggage included a personality split between Tom Paine-like republicanism and seemingly ineradicable ur-dreams of rescuing the Queen from her enemies – of which I, philosophically, was one.
As long as this personality split persists, universities will be trapped in an untenable position.
The agency's "friend today, foe tomorrow" relationship with the Northeastern States stems from a personality split within the agency itself.
The dearth of useful Android apps in this category is an interesting sidelight that may or may not reveal a personality split among Android users.
I'm not sure what a pair of brogues has in common with eye-popping Lesage florals, but it created an odd personality split in her collection on Sunday.
This personality split was found to be even more pronounced in female comedians, possibly a result of the animosity many face in a notoriously male-dominated environment.
This personality splitting is dramatically fussy.
Jung was always fascinated by personality splits, and his analysis helped to steady Pauli.
Personality splits and infighting within and between the coalition parties indicated that it would not last long.
Often Israel's personality seems split.
If these two characters happen to have two different personalities, give yourself split personalities and try to act like each at a different time.
