Put simply, the effort to become a voter should be equal regardless of wealth. I like the idea of imposing the difficulty the minority poors have in getting an ID on the white better off. Can you imagine Musk having to make multiple in-person trips to the DMV and wait an hour each time he is there?
Better then to vote for yourself, vote blank, vote for whoever you would rather have in charge, or vote for the least bad.
Not voting can be dissent (I disagree with the process, I don't think it's fair etc) or simply apathy. But in either case it gives less legitimacy to whoever is elected. And that's important: if you don't think it's a fair election/process then you don't want to give the legitimacy.
If you get killed on the high ground, you’re still dead.
To play devil's advocate and to argue for compulsory voting for a moment, however: It is a potential antidote to the type of voter apathy by which a somewhat demoralized but popular party (e.g. Democrats in the last US election) put themselves out of power by not being as motivated as a smaller group.
So while knowing the width of the motivation gap is useful, a polity could also just compel everyone to vote and then ask if they would have done so if not compelled, to get that information. Which is worse: Inaccurate data about voters' excitement, or sudden and surprising political shifts because people were sure they didn't need to go out to vote because they assumed their party had the majority?
Without compulsory voting, only those with strong motivation will vote - and there is no guarantee that an outsized motivation on one extreme side of the spectrum will not drastically and surprisingly take over if most people felt safe staying home. Austria right now seems to be a good example.