What you are doing is taking a simple comment from Paul found in 2 Corinthians and using it in a broad way to make your point seem to have some merit. You're using the word in a one size fits all fashion when their are different "yokes" for different relationships. Paul was discussing the spiritual relationship that Christians share.
The Bible teaches me how to live my life and to deal justly and kindly with those people outside my faith. It shows me the nature of my Creator and what He expects of me. Before my faith was given to me I was a hateful individual who yoked himself to other individuals (some hateful) because we had mutual goals... we walked along the same path through life. Christ showed me a new path to walk one that bound me to those who also are walking the path but also allows me to reach out to others and offer then what has been given freely to me.