Homeschooling in our area is primarily religious groups but I have been seeking homeschooling groups out just to feel what's out there. There are a lot of anti-establishment/anti-vaccination type of parenting groups that homeschool or unschool here.
We have many religious people in our life, so I am not too worried about including those type of homeschooling friends in our family, however, I worry more about them not allowing us. One time I joined a homeschool group on facebook that was for my area specifically and the response was, "To join, you must state that Jesus Christ is your lord and saviour".
Maybe go to the library or local children's museum during the day and spot out families with children your DC's age and spark up a conversation. See if they are secular homeschoolers? Keep looking online, you just might find a group that's perfect for you.