I am not a Baptist, but it sounds to me like you love your church and are faithful and happy. It also sounds to me like your new pastor is trying to impose his own beliefs and processes in a church that has long-established beliefs and practices that vary somewhat from his own. Perhaps having your church board (assuming there is one) sit down with him and have an open, honest, and loving discussion in faith and prayer will help him to understand what is expected of him by the folks that are paying his salary (i.e., the congregation that has a long-established set of rules and norms). Even though being a pastor is a calling into service of God, it is also a paid job.... and in ANY job, you abide by the rules of the establishment that signs your paycheck. If he can't do that, maybe he should find another job & your church can find a pastor whose actions, beliefs, and processes are the same as those your church has established long ago.
I hope, though, that there is a way to come to an understanding with your new pastor regarding church membership.
From what I understand, we are ALL God's children and have the right to belong to which ever church we choose. It would be a shame if this new pastor's practices and beliefs inspire long-established church members to seek membership elsewhere.
Here's sending you good thoughts and prayers for a peaceful resolution to these issues.