I'm an odd duck. I am ordained SBC and a member of an Evangelical Free church.
I believe that Scripture supports a plurality of elders. This is based on the following:
Acts 6:1-6, Acts 14:21-23, Acts 15, Acts 20:15-16, Acts 21:17-18, 1 Tim 5:17, Titus 1:5 James 5:14-15. The purpose of the elders is to provide spiritual oversight by being devoted to prayer and ministry of the Word Acts 6:1-6.
I believe Scripture supports the plurality of deacons in Acts 6. The purpose of the deacons is to minister to the physical needs of the church through benevolence ministries.
The people
The people of the church have responsibilities to the church family as well. When involved in church ministries they will be encouraged to act within their gifting with as little interference as possible. That includes things like care for building and grounds. The people will be encouraged to nominate men to be elders and men or women to be deacons. The people will be invited to voice any concern over individuals nominated to be an elder or deacon in private and in confidence. The people will be invited to inform elders and deacons of known needs, be they physical or spiritual and regardless of the church membership of the person, family, or group in need. The people will be invited to be involved in ministry opportunities associated with the church. The people will be encouraged to be involved in and support ministry opportunities outside of the church.
In Acts 6 when the people needed servants the elders maintained their proper focus and leadership roles. The people nominated people to be deacons and the elders installed them. In church discipline the people play a vital role in holding one another accountable and working towards repentance and restoration. When it comes to the point where the church as a while needs to be involved it should still be to bring repentance and restoration. If the person does not listen he is removed from membership.
I know some see the people voting in these events. I do not see that, however I don't think its a bad thing. Voting is just one practical way to do some aspects of church business.
All that said, sometimes a church has to have certain things in their constitution and by-laws based on laws of their state, nation, etc.