

Nope, it’s a terrible idea.
Who defines ‘service’? Who assigns ‘service’? Who decides you have done enough ‘service’? Who decides who is capable or not capable of ‘service’? What happens when two different officials have different ideas on the above? What happens when different administrative regions have different ideas on the above? What happens when different regions have different numbers of Voters? What are the health risks of ‘service’? What the health risks of the jobs that aren’t ‘service’? What about people who are incapable of doing ‘service’? What about people who choose not to do ‘service’? How are resources distributed between Voters and Non-Voters? What about political issues that largely only affect Non-Voters? What happens when the Non-Voters vastly outnumber the Voters and rightfully decide this is a crappy system?
I suggest the game Shadowrun if you want a look at a world where the Certified Citizens are a small minority. It’s not pretty.
InB4 the Non-Voters just start doing the Wilmington Massacre repeatedly.
Check your history books about what happens when the majority of the population has no political voice. Things get ugly.