Speaking from experience here. They have enough time. Most of them are completely politically uninvolved, but the ones who do know about politics are very frequently conservative, so i’m not entirely sure how to go about this.
It would make a lot of sense for rightwingers to mobilize the homeless and it probably won’t be as difficult considering homeless people get a huge amount of aid from churches.
This is why Marxists keep telling socialists to read theory and organize. I don’t want to come down too hard on you, but to my knowledge a successful mass action of homeless people, part of the lumpenproletariat, has never been seen, let alone an actual revolution. This is why socialists organize around the workers. Workers can go on strike and the elite of society must eventually hear their demands. They have no interest when lumpen protest, because why would they? What can a mass action of the lumpenprol do even if it could happen?
Rightwingers don’t mobilize lumpenprol because they know better