To be very brief and to the point, the regime is more than a possibility at that stage, because the earlier it is started, the better. If your daughter just had RRMS, you might take longer to notice the change, because it might be years before you noticed that she just wasn't getting relapses any more, especially if she is on copaxone as well, which is supposed to lessen the rate of relapses. However, you should notice the difference sooner in the asthma. I had adult onset asthma, which although not particularly severe, was a definite hindrance. That was three years ago, but I now haven't had the need to use an inhaler for two years.
You can take the antibiotics alongside copaxone, but I guess you will find difficulties in getting your daughter's neurologist to prescribe them. Your GP is probably the person to try, armed with David's pdf file: http://www.davidwheldon.co.uk/ms-treatment.pdf
and something else that I will soon be able to direct you towards. If your GP is a patient one, David's whole site gives much more evidence and is now much easier to navigate. His email address is at the bottom of page 1: An Overview of Evidence, if either you or your GP would like to write to him.
Best of luck to you both,