The names of the people on the channel, as returned via raw 353 are located in $4-
To get those names without the prefixes, your could use $remove($4-,@,%,+)
This would remove the standard @ (for ops), % (for half-ops) and + (for voiced) from the string in $4-, leaving just the names. If you are aware of more status characters, like the & which is used on some networks to show administration, then just add the & to the list of items to be removed.

Once you have that list, you can add it to your dialog list using $didtok

So in the long run you could use something like
raw 353:*:{ didtok <Dialog> <ID> 32 $remove($4-,@,%,+,&) }

Please note that if raw 353 has to be returned more than once, I'm unsure if the names list in the dialog will be updated to include the new informatiion from the extra raw 353's or if the information from (for example) the 2nd raw 353 would replace that from the first.