Well..allow me to ask if you attend services anywhere, and if so, what affiliation does this church have?
If you tell me you don't have elders and are not associated with a local fellowship, and you don't have extenuating circumstances, you are in disobedience to God automatically, because Scripture teaches we are to belong to a local, face-to-face fellowship where we assemble regularly, observe the sacraments and are led by elders.
If your group calls itself non-denominational, I will ask if the church has a name. If it has a name, that is in essence a denomination even if the name includes only one church congregation.
denomination - a recognized autonomous branch of the Christian Church.
"Autonomous" means to be self-ruling. One given church is, in fact, a denomination whether it claims to be non-denominational or not.
And, if you break it down further, the origin of the word "denomination" involves having a name, so if they have a name (and an associated identity), they are a denomination.
I used the cultic group I belonged to, as an example. Their prideful claim was that they were not a denomination. I agree with them, because I don't consider cults to be denominations. However, they definitely had a name, and when the parent organization fell apart, the group broke into several splinter groups, so in essence the movement became a "denomination" in a sense, because there were multiple autonomous groups that came from a single group. They aren't Christian denominations, though, since they are a cult.
One of my main points, though, is that there are differences of opinion on what the Bible teaches in some areas, and groups separate based on this, or other reasons. Two honest believers can differ on significant issues that make constant fellowship impossible. For instance, if you have one faction who wants to run through the church whooping and hollering during the services, and disturbing the teaching of the pastor, what are you going to do about it? You might try correcting them once or twice, but in the end, if both parties are determined in their view of worship, then there's going to be a problem.
I certainly wouldn't sit in a church with a bunch of nutty people causing disturbances during the sermon.