I think you should draw a distinction between requesting different interviewers and requesting additional interviewers.
You mentioned that your current interviewers are "executives" - are we talking like VP level and C level executives? Because that seems very odd. If it is the case then either your company is very small and they do all the hiring, or someone is going to groom you for a high level management position.
If on the other hand you said executive but really meant HR representative, then that's a little different.
When I'm going for an in person interview, I insist that the hiring manager be there. I insist that the person who will be responsible for my workload, performance review, and day to day management is present during the interview. The one time I deviated from this rule, I hated my entire tenure at the firm and I won't do it again.
However, I would never ask that someone -not- be there. That is definitely rude and also makes it look like you don't play well with others which is not a trait you'd like exposed in the interview process.
So if you would like to request that the hiring manager be present so he can make an evaluation, that is a reasonable request. I've made it (politely) and had it be met with warm reception. It's especially relevant when considering that you are responsible for asking them questions and making a decision too. How can you make an informed decision about whether you want to work there if you can't interact with the person who knows more about what you're going to be doing than anyone else?
Now this is strictly for an in-person interview. If this was another phone screen that wouldn't matter so much. You might get stuck with many rounds of phone interviews before you get to an in person interview and you aren't really in a position to make such a request there.