Isn't this how they used to do multiclassing back in 2nd edition and before?  I kinda like it because it resembles skills.  You don't get better at something just because another skill is high.  You start at at level 1 in everything.  Or is it zero and you start at level 1 in one class?  It makes sense to me, if you can make it work.
				
			 
				 
 
		 
 
		 
 
		 
 
		