Well, sure, nothing smacks of "freedom" and "democracy" like forcing people who otherwise don't give a shit enough to vote voluntarily to vote with the force of law!
Frankly, I'm not sure why we don't turn over all of our important life decisions to the people who really don't give a crap about them.
Should I ask for a promotion? Marry my girlfriend? Buy an new house? I dunno, maybe I should point a gun at people who really don't give a crap and force them to decide...
Your career, marital status and choice of home have little impact on other people.
But every citizen is affected by their government.
So your analogy is stupid and short-sighted, just like your concept of "freedom".
Nobody in Australia is forced to vote - it's a secret ballot, so if someone doesn't want to vote, they can submit a blank or invalid paper, and nobody can stop them from doing so. Very few people choose to do that.
The benefit of compulsory voting is that it avoids giving disproportionate power to the enthusiasts. The people who get off on political activism, or who are faithful to a party or candidate, should not get a bigger voice than the apathetic - not when those apathetic people do actually have a sufficiently strong opinion to cast a valid ballot when they are not given the option to laze around instead.
Many people are unenthusiastic about politics. People should not be disenfranchised because they are unenthusiastic, any more than people should be disenfranchised because they are female. Particularly when to do so risks entrenching the powers that be.
Mandatory voting is one of many important steps towards the prevention of locked-in two party politics in which any alternative to the choice of two awful candidates has no hope of success.
'I don't vote, because only the two main parties can win, and I hate them both' is a self fulfilling prophecy.
Mandatory, Instant run-off voting is far more democratic than optional, first-past-the-post.
Having lived about half of my life under each system, I am very confident of that.
The "freedom" to not attend a ballot every few years is one that undermines a whole bunch of far more important freedoms. Nobody can ever be completely free; You need to pick your freedoms.