Compared to that I'd absolutely say homeschooling (even with occasional events and activities) is quite isolating.
With homeschooling, the parent sees what's happening and can protect their child. Nobody will protect them at school - especially if the school lies to the parents to save face/protect teachers. And nobody will ever pay for the destroyed family relationships this produces.
How is a kid supposed to learn to deal with the uncomfortable situations when everything they do is shut down and punished by a teacher but they don't care about the actual problem and it's perpetrators? How is a 7 year old kid supposed to stand up to the teachers?
In school you spent 6 hours each day on recess/lunch break? Because I'd argue that in most classes, you aren't exactly supposed to be socializing, but rather, you know, following the class you're in
Socialising doesn't just mean unrelated chatter.
When I sat next to other kids there weren't discussions, there was fighting and stealing my stuff and teachers not reacting because they sat me next to the precious ones who couldn't do anything wrong so "they keep an eye on me" - and then punishing me for my missing stuff. When we had to do projects I was the only one working and the other kids ignoring me on purpose - but somehow that was my fault too and I got a bad grade because "it was supposed to be a team project".
Fuck schools. It's not my fault I was born with ADHD - and if you force me into the school then it's on you to learn to deal with it. But that's not going to happen - and thus homeschooling is the way for my children.
EDIT: You can also check your local library, as the librarians are likely to know of at least one person who homeschools and might be able to connect you.
I suggest starting with your state resources (assuming you are in the USA). Here are a couple for Oregon: - http://www.ohen.org/ - https://www.thehomeschoolmom.com/homeschooling-in-oregon/
At the time that I was homeschooling my children, that was enough info to lead me to various parent and meet-up groups.
Something that isn't mentioned much - just like getting a tutor in college, its pretty easy for a parent group to pitch in for an occasional day of tutoring or lecture/review from an expert.
Negative concerns about socialization was never an issue in my experience or from what I saw with other homeschoolers, rather the opposite.
When getting started, make an honest appraisal of your teaching capabilities and home life. Be ready to admit where you have areas of weakness and stop when you reach the end of your capability and don't have support or a parent group to assist in those areas. Be ready to experiment with different learning approaches and look at it as an opportunity for yourself as much as for your child.
Like anything else in life, you and your child will get out of the experience what is put into it. Success takes effort. I think (just my opinion) too many parents let public school do the parenting. When I first started with my 3 year old (who was already reading and doing math by that age) I created a simple set of goals and a project plan and then reiterated through it as I learned more about homeschooling. By the time my second child started to read and write I had a solid sense of direction and a plan that I was able to loosely follow for the next dozen years.
One last tip: don't stick to the public school schedule. Life lasts all day long, all year long. Activities may change with the seasons, but learning doesn't need to stop just becuase summer came. Be flexible. Take lots of field trips. Have fun... OK, that was more than one last tip.