As answered, the size of VotingSystem.sol will still exceed the deployment limit. Another way to split up implementation handling, is by using libraries.
If some of your logic is purely functional (doesn't modify state or only modifies the state of passed-in arguments), you can extract it into libraries.
Libraries are deployed once, and other contracts can then call their functions using DELEGATCALL. This means the library's code isn't duplicated in every contract that uses it, saving space.
Note: Using internal library functions will embed the code, so for size reduction, you'd typically use public/external library functions, though this involves external calls.