The "hurdle" is not high, but who does it trip up at a disproportionate rate? The poll tax was always between $1 and $2 even when the average household income went from about $500 to over $3000 in the 60 or so years that they were en vogue. You were never talking about an unbelieveable amount of money. Yet, the Voting Rights Act of 1965 got rid of them, and it prevented ID laws until it was weakened by the SCOTUS.
Moreover, the hurdle to get a state-issued ID is higher than it is to get many other picture IDs that posters in this thread seem to want to pretend work for voting. This is if the system is working perfectly and not in tandem with voting suppression efforts by having limited hours and an unresponsive offices. Also, I'm gonna be really generous and ignore how you comparing minorities to mentally disabled people can come off. The stupid conservative talking point that opponents to voter ID laws believe that minorities are too incompetent to fill out paperwork needs to go away. It's just a ty attempt at a racial gotcha that doesn't work outside of an echo chamber.
Minorities have a harder time getting IDs because they often lack the time and means to get them (especially if the offices at which they are supposed to get them are purposefully hard to contact), not because they're too dumb. The same is true for why voting in person disproportionately affects them. Because they don't live in a world where the ID is needed for anything else, they don't necessarily see it as being a good use of time like someone who needs to get a driver's license would. If the residents of your home are part of a program where they get the support to fill out the forms, have the free time to go through the hoops and are part of a program that encourages that they get an ID, then it's likely they get IDs at a much higher rate than non-driving residents. And good on your program for helping them.
State IDs need to be free, easily accessible and readily replaceable for them to not be a voting hurdle. Relatively cheap, inconsistent to get and even harder to replace doesn't cut it.