Fair point but in at least Georgia the Georgia State Militia was exempt. Yes they did tangle with Sherman a bit but overall their casualties were light since they tended to run away. Other states may of given Militia exemptions not real sure.Simply put CS conscription officers could grab anyone they wished... Except slaveowners, politicians and school teachers.
The US had a lot more restrictions since they weren't using conscription but a draft. That took a good bit of the corruption out of the process. It wasn't willy Nilly up to a conscription officers but in the hands of elected or officials appointed by elected officials.
The Union did give a $300 exemption for hiring a substitute. The City of New York did in fact after the draft riots pay for exemptions for those who did not want to be drafted. A few other municipalities did as well.
No doubt the conscription or draft was not popular. On the other hand young men from the non border states did not engage in widespread guerrilla warfare against the Union nor was there widespread defection to the Confederate Army.