I think after reading some of the website you made reference to that the site itself is deceiving... it did explain pretty accurately what Independent Baptists are but the accusations against them are very deceptive.
1. Independent is just that. Non associated with conference as the southern Baptist. Independents fund missionaries Independently and not out of a conference. Missionaries go church to church to get a support prior to going to the field.
2. Not hardly any two Independent Baptist churches are alike so its deceiving to group them all as one.
- Not all are KJV bible only.
- Not all have strict standards as dress only for women and no shorts.
- Not all believe women should only be keepers of the home and not have careers.
- Some believe in speaking in tongues.
- Some don't believe in eternal security.
- Some give the pastor more control, some deacons have more control.
I have also first hand knowledge of Independent fundamental Baptist, being married to one and knowing peoples of the church, and several pastors.
One thing I've noticed of most peoples criticism of strict fundamental churches fail to read their Bibles well when comparing them. The Bible is far more critical on loose living and loose morals than the Independent Baptist of today are. It was written in days of acceptance of Slavery and and total separation of duties an responsibilities of men and women, not to even mention women in the ministry. And don't even think the bible accepts homosexuality or you are just deceiving yourself. Most people who submit themselves today with strict lifestyles and separation are doing it to be pleasing to God as the "word of God" describes godly living and faith. They live every day to be pleasing to God by faith.
So if the bible were to be true and accurate, from what I can see they are definitely trying their best to live by it. Most live a pretty good clean happy life, be a good citizen, and raise happy children.