I did two years at a school that proclaimed itself to be a “liberal arts school”, between my stints at community college and grad school. I was consciously taking two years to do what I hoped would further my broad education that I acquired being homeschooled.
I did not. Most places that claim to offer “liberal arts” miss the entire point. They serve up a listing of courses that look like liberal arts but teach them exactly the same as anything else. If the point is to learn “how to think”, they are missing the mark. I didn’t realize what they were trying to do until I started researching classical education in preparation for homeschooling my toddler.
Now, that said, I think classical/liberal arts proponents are usually missing a necessary emphasis on science, math, and technologies. As a software engineer married to a mechanical engineer, we want our kids to be well rounded thinkers, yes, but we are going to put a lot of weight on calculus and physics and encourage them to get a practical degree like engineering or medicine.
Sounds like you have a good combo for homeschooling.
My wife and I have, respectively, an English degree w/ tech writing experience, and an electrical engineer.
And we’re working on our “5 foot shelf” of Harvard Classics, though the chillins are too young for them yet.