I'm sorry you are having so much frustration with your family.
You are NOT wrong. What you are describing is a difference in preference. The other people in your family may agree amongst themselves on a good time for dinner and a good pace for eating but simply because they agree does not make that the RIGHT choice. It is only right for them. What works for you is the right choice for yourself.
Obviously this doesn't answer the problem of being in conflict with your family. Getting along can be beneficial. Is it possible to discuss these issues one to one, pointing out to your parents that, like it or not, you are wired differently and you are more comfortable eating at different times? If you make a sincere effort to meet them half way, will they do the same?
Sometimes a great deal of tension and anger can be dissipated by simply having a serious, but calm talk.
One thing to understand about parents; they tend to feel a great deal of responsibility for their child's well being, but at times feel utterly powerless to help. Often the reaction is to nag or yell or belittle in the hope that somehow this will get the child moving in the “right” direction. They can want your life to be better and may really be trying to help, but don't have the understanding of the situation to navigate the mine field of an Aspie's personality. If they don't know much about Aspergers and especially if they are all extroverts, when faced with your inexplicable behavior, the only answer that they may be able to come up with is “if you only behaved normally, then everything would be alright.”
You and I know demanding that you be a different person isn't going to work. It may be helpful to collect some information that clearly and simply describes common Aspie behavior and show it to your family. Try to make a sincerely polite attempt to communicate with them. They very well may reject this argument, saying you are making excuses or that you don't know what you are talking about. Sometimes you need to present the information in small doses or over and over until they begin to understand. It needs to be done calmly and patiently. They probably will not accept it immediately, but if you remind them perhaps once a week, over time they may come around to having a better understanding of you.
And don't forget, it's a two way street. Try to understand how they see things. You don't have to be the same as them, but it is helpful to at least try to understand and accept that they need to make the choices that work for them just as much as you need to make the choices that work for you.
Good luck,
Lars