Every day I can hear them calling us insulting words. - likely. They call you things, like pretending that you are an elephant.
Every day I can hear them calling us with insulting words. - less likely.
"Call you" - Hey jake, come here.
... with insuulting words:
Heh, Jake come here you twerp.
Heh, Jake come here you idiot.
Possible, but less likely.