Not quite - 28% of the seats went to parties which identify as Eurosceptic and either want the EU to be disbanded altogether (ENF, EFDD) or rolled back considerably (ECR). I'm not sure where one would put the GUE/NGL on that continuum, probably on the rolling back side of things.
ALDE+EPP+S&D+Green/EFA have 68% of the total. All four groups are pro-union. That's a 2/3 supermajority and includes the results in UK. If you cut out the softest supporters (Greens) you still have 62% support for an ever closer union. This is just the result of the largest three parties who all support further integration, which has support beyond those three.
Assuming that the rest want a European super-state is the exclusion of a pretty large middle comprising keeping the same level of integration and cooperation or increasing the level of integration but stopping (far) short of a European super-state.
EU is currently in an unstable state. It must either integrate further or roll back considerably. The results show a clear supermajorty for further integration exists continent-wide. Now, granted, I'm sure not all are on board of full integration
at this time. Neither am I, the common European identity is too weak for full European superstate
at this time.
With further integration and another generation however that becomes the obvious end result I reckon between 20 and 50 years from now. Unless something Bad happens EU will have us think what is the distinction between a union of soverign states and a soverign federal state within a decade or two.
I'm sure we'll find that border is fuzzy and can't be determined to any great precision. No, I do not envision the United States of Europe being declared anytime soon if that's what you're asking. Instead what will happen is further integration in small steps and occasional larger ones (fiscal union), each of whom will stop far short of declaring a superstate. After a while and looking back you won't be able to tell at which point did the EU become a superstate.
It's evolution all over again. You're the same species as your parents and your parents are the same species as their grandparents ... do this long enough and you find your great-great-...-great grandfather was a fish and so was his mate. The plan is to do the same with EU.
The UK Labour Party is a member of the S&D grouping and as their Brexit position shows, they have little appetite for a European super-state. The LibDems are a member of the ALDE grouping and are possibly the most Europhile UK party and don't want a Euro superstate..
UK is a tad special, yes. If you cut the UK out of the results you get close to a 75% majority for an eventual European superstate.
McHrozni