For example, your goals and priorities would not match. Classic example, when I got into church, I do not have the same friends I had before. They wouldn't understand and would more than likely consider your suggestion unfounded. Basically, that means if your partner does something wrong, you could be held personally liable, and lose your house, your car and all of your personal assets in addition to the business assets. I don't think doing business and being yoked are rarely the same thing.
Business people are business people.
And being picky isn't good for business. My church has offered a class on the needs of women in the workplace, and I found it to be very enlightening and helpful. Not that I know of. Well, my pastor is combing through the book of Proverbs for our Wednesday night Bible study. Which, last time I checked, includes work.