This would have been unheard of in 2019.
You DO NOT under any circumstances enforce invoulontary medical procedures on a living human being. EVER!!!! No exceptions. What the hell are we becoming?
Well, in fairness, paying people to do it is hardly involuntary.
Many people voluntarily seek out birth control. Its difficult for homeless people to manage that long-term. Vasagel is also a solution for homeless men. Long-term implants can be used for women.
There is some evidence that homelessness & poverty increases the likelihood that the next generation is homeless/poor but that would be a secondary factor. The moral & political cost of a forced sterilization program is indescribably immense in the West and would need to promise similarly immense outcomes which are nowhere to be seen.
Pay people to get sterilized. Right now our current welfare system encourages homeless women to have children - since they are immediately granted public housing.
Offering homeless men $5,000 and women $10,000 for vasectomies and tube tying will save a fortune in welfare costs and end the cycle of poverty.