As long as there are some safeguards in place the mentally disabled should be allowed to vote, or make the attempt. If you sat there for a few days and saw who came out to vote, you may rather wish they too weren't having an influence on helping to elect the next government or opposition parties.
I do not support disenfranchising the mentally disabled. If they are politically studied enough that they can make an intelligent decision about how to vote for somebody, then of course they should be able to vote.
Why should there be a different standard for them than for anybody else? A disability doesn't mean that discrimination is an absolute certainty.
You do not get to define how well "studied" someone has to be to participate in voting. Anything you find acceptable is highly politicized and guarantees voter disenfranchisement for a number of groups of people.
On the other hand, a test like LSAT that proves you can figure out logical fallacies would mean the stupidest of the stupid don't get to affect my life.
If course in the OP's world, some of these people would be able to vote, others not, just like non-disabled people.
Your thinking is where the discrimination is. You have assumed such people are not equal.