The "health reasons" are all untrue. Urinary tract infection rate for cut men is 1.27% and for uncut men is 1.28%, any statistician will tell you that is well within any margin of error and the numbers could easily be reversed. [If these people were really concerned about urinary tract infection they would be looking at women, who's urinary tract infection rate is 9.23%, but they don't propose labiaectomies, aka female circumcisions, better known as female genital mutilation, which is a crime.]
The original African HIV "study" linking men being uncut to infection rate has been proven to be untrue. Once research without an agenda was done the study and socioeconomic factors were taken into account they discovered that affluence, education level, access to medical facilities and basic infrastructure (i.e. running water, electricity, transportation, etc.) were more directly linked to HIV infection rates. It turned out that who got cut was linked most to affluence and aspirations for wealth and a left affect of British colonialism; the wealthy and those who aspire to be wealthy there are anglophiles and maintain many outdated misinformed and misguided old British customs. The original study was done by individuals who are hangers on of a British Eugenicists groups who think/thought that mass circumcision will cause future generations of men to be born without foreskins. The founders of the group thought that circumcision was the cure for masturbation and this was necessary because what the 18th century British "scientist" thought was that there was a TINY MAN INSIDE each sperm cell because the sperm cells move and that meant life and they thought that masturbation was mass-murder.
As for the hygiene argument, in most of the world, running water is now indoors and even comes heated; soap has been around for centuries.