From your line of reasoning, I'd guess that you have no moral issues with eating humans. If eating animals and plants is the same, then isn't eating non-human and human animals the same?
If you do have a moral problem with eating humans, then you probably have moral hierarchy - humans' lives are the most important, and every other life is less important.
Some vegetarians have a different moral hierarchy - animals' lives are most important, then plants' lives. You can value plants' lives, and treat plants with respect, and still decide that you're morally okay with eating plants.
If you do have a moral problem with eating humans, then you probably have moral hierarchy - humans' lives are the most important, and every other life is less important.
Some vegetarians have a different moral hierarchy - animals' lives are most important, then plants' lives. You can value plants' lives, and treat plants with respect, and still decide that you're morally okay with eating plants.