If neighbors are not toxic, destructive or overly loud: It is just not essential to your life to be buddies with your neighbors. It IS useful if you and your neighbors have at least a basic speaking relationship where they'd tell you, "Some weird car was parked in front of your house all morning while you were away" or whatever. We'd all want that, or we'd want neighbors who would tell us if there were issues in the area that affected you all (a rash of break-ins, strangers walking around the houses, or the cops coming around to tell folks about something happening locally, etc.). But truly, it is not necessary to be friends with neighbors to the point you're socializing.
IF you have other things in common with neighbors, shared interests or activities that give you a real connection, that's a start to a real friendship. But just living near someone does not mean you have to or need to socialize -- proximity is not an automatic reason for friendship. So basically, if you like the house, the schools, the area, if it's convenient for jobs, for activities, etc., and the neighbors are not toxic but just don't pay you much attention socially -- why would that be a reason to go to the huge hassle and expense and drama of a move?
Having said that: I agree with the many other posters who note that something seems to be missing here. Is it possible that these newer neighbors have things in common with each other and not with you or your family? Things that make them likelier to socialize with each other and not with your family, so you interpret it as "They're ostracizing me on purpose" when really they just don't think about inviting you?
For instance, do you have younger kids but they all have older kids (or vice versa), or you have kids but they mostly are couples without kids? Maybe they go to the same church that's not yours? Their kids go to the same school or play in the same sports league? The adults have similar jobs or backgrounds, which you might not be aware of?
In other words - this may not be about you, or your baked goods, at all. It may be that they have other links you don't see or know about. I agree that it's simply weird to have a party outside on a cul-de-sac and not invite everyone, but are these parties right on the street itself or in one family's yard and others go over there? There's a difference. But whatever's going on, I'd make my life more about what's outside the neighborhood - the kids' schools and activities, my own friends who are not in the neighborhood, etc., than worrying so hard about the neighbors that I was uncomfortable in my own home.
Is there something we're missing here?