Because I am a Christian, it very definitely influences how I homeschool. In fact, it is a very big part of why we made the decision to homeschool and our desire to bring our children up in the Lord. Somewhere along the way of many many years of homeschooling, my little pea brain can also start to correlate that Christian=should be homeschooling for other families. Hmmm.......That one equals the other and if another family is not homeschooling, they are somehow not quite 'there yet' as Christians.
Don't get me wrong...I love homeschooling and believe wholeheartedly it's what God has led our family to do. It is such a big part of our lifestyle that I can't imagine life differently. But to somehow take what has been a blessing for us and then make it a requirement for fellow Christians? Something is off balance there.
I have friends with lovely children who have always been in school. I know women who would dearly love to be home with their children, but are unable to for various reasons--husbands that don't support that ideal or circumstances that dictate otherwise. My heart goes out to them. I know God has a 'best plan' for families, and I do believe homeschooling can be a big part of that.
But, dear Lord, please let me never forget to remember Colossians 3:12:
Therefore, as God's chosen people, holy and dearly loved, clothe yourselves with compassion, kindness, humility, gentleness and patience. | 
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Or if your husband doesn't want you to homeschool (which used to be my case) then your kids are going to school plain and simple and you need to just pray over them everyday and send them off.
We should not look down on people just because they don't do something we feel God is leading us to do, they might not have got that leading yet. It might not be time for them yet........Good post