Lets be honest, it's not '
a new stadium' per se that they are fuming about. What is really boiling their urine is the location of said stadium.
They may in the future throw billions at creating the biggest, most state of the art stadium. . . . . . BUT, they will always be stuck out in the suburbs.
They resent the fact that we are the city's original team, they hate sharing the city. They are gutted that the vast majority of visitors to Liverpool (day trippers, city breaks etc) will never see Anfield but will most certainly be seeing the new Everton stadium. This is also why buying into the Liver building was a masterstroke by Moshiri.
The city is ours