For one, it's incredibly hard to believe that anyone genuinely believes that "killing" a carrot and killing a dog are in anyway morally similar.
Secondly, this is utterly IRRELEVANT IN PRACTICE! Your consumption of animals causes far, far, far more plant "deaths" than if you actually just ate plants. BY YOUR OWN LOGIC you should be vegan. Of course, you can also use your logic to go the other way. If it's all the same morally, might as well start eating humans. Us white people have got some experience with that.
> I am in favor of reducing the harm I am able to
Wonderful, that makes you vegan. As in, that is the actual (common) definition of veganism: Reduce suffering and death as far as practicable and possible.