Neither. There has never been a distinguising divide between the two halves of Liverpool. Brothers and Fathers from the same families have historically enjoyed competing against each other in derbies without any ill feeling toward each other, other then the thrill of victory, or the shame of defeat.
Above all, both clubs were started as a result of a METHODIST church (St Domingo's). Both Protestantism and Catholocism were highly irrelevant to either football club.
The fact that this question has been asked so many times since the Premiership started is probably down to rival fans making up rumours about the more successful clubs, as football became more popular amongst people who had previously no interest in it.
Quote from Liverpool FC Website
"Both teams (Everton & Liverpool FC) owe their existence to a Reverend Chambers of the then newly constructed and now totally demolished church - St Domingo, and to John Houlding - Tory MP and Mayor of Liverpool."
Quote from Everton FC Website
"The St Domingo Methodist Church Sunday School was opened in May 1870 and eight years later the football team using the St Domingo name played its first match in the south-east corner of Stanley Park, with the players carrying the posts from the park lodge on Mill Lane before fixing them into the metal sockets at either end of the crudely marked pitch.
St Domingo's FC quickly established a local reputation for themselves and players were recruited from outside of the parish, precipitating a change of name in November 1879 - to EVERTON."
Everton are the catholic side of Liverpool because more catholics live there but everton fc is prodestant. it was based a methodist club
Liverpool fc's stadium is called Anfield
FC Bossy Liverpool was created in 1954.
It was founded in 1892 by the then Mayor of Liverpool John Houlding, who persuaded Everton FC to move from their Anfield ground and who made it the home of the new Liverpool FC.
Liverpool FC is an english team based in Merseyside, England.
Only Liverpool FC and Liverpool FC reserves play at Anfield.
He doesnt play for Liverpool fc so no position
LIVERPOOL FC was today valued at around £530m.
Liverpool FC at Anfield Everton FC at Goodison Park
Liverpool FC bought Jordan Henderson from Sunderland FC.
John McCartney was the Captain of Liverpool FC between 1897 and 1898.
Liverpool fc was formed on the 15th of march 1892