How are the fundamental beliefs of your local church determined? How are teachers/preachers of these beliefs disciplined or held to teaching according to these beliefs?
By vote of the congregation. Officially, we associate and hold to United Church of God's fundamental beliefs by consensus because it most accurately reflects our biblical beliefs.
How are teachers/preachers of these beliefs disciplined or held to teaching according to these beliefs?
From the biblical example:
Mat 18:15 "If your brother sins, go and show him his fault in private; if he listens to you, you have won your brother.
Mat 18:16 "But if he does not listen to you, take one or two more with you, so that BY THE MOUTH OF TWO OR THREE WITNESSES EVERY FACT MAY BE CONFIRMED.
Mat 18:17 "If he refuses to listen to them, tell it to the church; and if he refuses to listen even to the church, let him be to you as a Gentile and a tax collector.
In the three years that I've been attending with United I haven't heard of any kind of discipline being imposed in our local congregations. I've heard that disfellowshiping occurs sometimes in other congregations, but it's almost always reserved for those who actively attempt to sow discord by vocally and continually opposing the beliefs of the rest of the church. Most of the "hot button" issues are left as a matter of personal conscience.