What program are you using to broadcast keys?

Also, do you have everything bar 1 - 0 on the do not pass list?
Clicking will only work for your main, so if you want both chars to do stuff you must use keypresses. Make sure you don't have shift + 1-0 on do not pass, otherwise the second toon will forever be stuck on bar 1.

You can also use an addon like Bartender 3 to give you extra bars, which can then be bound to other keys.