Think it will depend on which end of the city you were in and maybe who you were interacting with.
I grew up in Crosby and most people I knew were either the Crosby/Waterloo area or up towards Formby and Southport and I can only remember one instance of outright racism growing up and it was a lad at school using the N word and then getting decked for it.
I heard my share of racism growing as a teenager in the 00s. My school had a definite divide between those who came in from Toxteth/Wavertree (white, black and brown) who were not racist, and those who came in from Garston/Speke, who were majority white and had a lot more racists. That included some from Garston who were part of the self proclaimed horrible racist scumbags known as the "Mud Men" (one of them - not from my school - got sent down for a racially aggravated murder). I saw more then a few people get "outed" as racists before getting battered, usually by lads from Toxteth/Wavertree way. We were the posher lads from Aigburth/Allerton/Mossley Hill and weren't racist either (liberal middle class), but couldn't count a black or brown friend between us.
I was also a mophead, and spent a lot of time in the centre of town hanging around with all the other mopheads, moshers, goths, etc (
) who came in from all parts of the city and the Wirral. I heard loads of racism coming from people there, some of it sickening. There was even a gang of out-and-out racist skinheads, the sort that was should have died in the 80s, who would have groups of scals from Toxteth and other places down every week trying to fight them.
Besides Newcastle, Liverpool is probably the whitest major city in the UK. Certainly it is no stranger to racism, despite its anti-establishment credentials. Mix in a good dose of poverty, lack of education and lack of opportunities, and nowadays the additional factor that is the cess pit of social media, and it is a recipe for racist dickheads to breed. Sadly, for every ardent anti-fascist, there is a dickhead racist. I'd have hoped the scales would've tilted more these days though.