There is one local church of Christ where I live. My family has been a part of this church in the past; however, due to great conflict and many issues surrounding this one church, my family decided that we were best not to attend there. No, we did not vocalize our concerns to anyone due to those who had voiced the same concerns before us, which led to anger and their departures. After at least six months we have no other church to attend due to the drive. We don't believe the circumstances have changed at that location. Is it biblical to continue to study at home?
Studying at home is not the same as starting a church or worshiping with brethren.
I have no idea what the problems are at this church. It has been my observation that people divide over things that are more matters of opinion than real biblical issues. My personal rule is: Can I worship with this congregation and it not affect my ability to worship God as He commanded? Remember the church in Sardis was not following the Lord, but there were still faithful members in the church (Revelation 3:1-6).
Leaving a church doesn't solve problems, you merely leave them to fester. Nor did you show love for the brethren there. You seem to think they are lost; yet, you did not speak to anyone about the problems as Jesus said to do (Matthew 18:15-17). Because you and others leave the problems are not dealt with. Yes, I know leaving is easier, but love requires effort. "Be kindly affectionate to one another with brotherly love, in honor giving preference to one another; not lagging in diligence, fervent in spirit, serving the Lord" (Romans 12:10-11).