each hotbar can be set if they are cross-class sharing enabled or not.
I think if you check under the control setting (K) under the HUD if I'm not mistaken (can't remember the exact place), there is option for this.

By default hotbar 1-4 are not shared, while 5-10 are shared.

So your option is to either move those skills to hotbar 1-4 or change the setting of hotbar 5-10.. good luck!