Both teams have won 2, drawn one and lost one so no, we're currently not any better than Liverpool and unless there's a marked improvement from our first 4 performances in the league we'll struggle to get past them.
That's quite a lazy way of seeing things. If Watford or Stoke won 2, drew one and lost one, would you say we aren't any better than them either?
I'd say even most Liverpool fans would agree that we have the stronger starting eleven.