It is not remotely reasonable to declare people not entitled to write letters discouraging abusive treatment of chimpanzees because they happen to eat meat.
It is possible for some hypothetical person to have a well-worked out and consistent ethical system that allows them to eat the meat found in restaurants and supermarkets in the Western world on a regular basis, and also oppose experimentation on chimps. I have never met such a person. I therefore encourage all non-vegetarians to re-calibrate their attitudes towards chimp experimentation in light of their attitudes towards raising animals in much worse conditions and then slaughtering and eating them. And if I say that someone who eats meat and opposes chimp experimentation is inconsistent, I expect that statement to have many more true positives than false positives.
Even then it is not at all inconsistent to have a moral aversion to ongoing painful treatment of a creature while considering it ok to breed the same creature for food.
Enough of our current methods of raising animals for food cause them pain - I would guess greater pain than that caused by chimp experimentation - that I don't buy this argument. If you claim that you can be ethically consistent in opposing chimp experimentation, yet eat pork without knowing where it came from and how it was raised, you have an unusual, and very finely-tuned ethical system.
The October 2011 Scientific American has an editorial from its board of editors called "Ban chimp testing", that says: "In our view, the time has come to end biomedical experimentation on chimpanzees... Chimps should be used only in studies of major diseases and only when there is no other option." Much of the knowledge described in Luke's recent post on the cognitive science of rationality would have been impossible to acquire under such a ban.
I encourage you to write to Scientific American in favor of chimp testing. Some points that I plan to make:
I also encourage you to adopt a tone of moral outrage. Rather than taking the usual apologetic "we're so sorry, but we have to do this awful things in the name of science" tone, get indignant at the editors who intend to harm uncountable numbers of innocent people. For advanced writers, get indignant not just about harm, but about lost potential, pointing out the ways that our knowledge about how brains work can make our lives better, not just save us from disease.
You can comment on this here, but comments are AFAIK not printed in later issues as letters to the editor. Actual letters, or at least email, probably have more impact. You can't submit a letter to the editor through the website, because letters are magically different from things submitted on a website.
ADDED: Many people responded by claiming that banning chimp experimentation occupies some moral high ground. That is logically impossible.
To behave morally, you have to do two things:
1. Figure out, inherit, or otherwise acquire a set of moral goals are - let's say, for example, to maximize the sum over all individuals i of all species s of ws*[pleasure(s,i)-pain(s,i)].
2. Act in a way directed by those moral goals.
If you really cared about the suffering of sentient beings, you would also care about the suffering of humans, and you would realize that there's a tradeoff between the suffering of those experimented on, and of those who benefit, which is different for every experiment. That's what a moral decision is—deciding how to make a tradeoff of help and harm. People who call for a ban on chimp testing are really demanding we forbid (other) people from making moral judgements and taking moral actions. There are a wide range of laws and positions that could be argued to be moral. But just saying "We are incapable of making moral decisions, so we will ban moral decision-making" is not one of them.