I am a US citizen, married and living in Israel.
How can get my Israeli/S. African wife a Visa to be
able to visit the U.S.?

She'll need to apply for a visa at the Tel-Aviv Embassy or Jerusalem Consulate:

Tel-Aviv: israel.usembassy.gov/consular/niv/apply2.html

Jerusalem: jerusalem.usconsulate.gov/visa_appointment.html

thanks for your reply
what does it mean when they asked for the NUMBER GIVEN BY THE HOMELAND SECURITY (when I said that my wife is coming with her husband, a US citizen?

To get a K-3 nonimmigrant Spouse visa, you need to fill in extra forms and petition (I-130) forms, and clear it: see travel.state.gov/visa/immigrants/types/types_2993.html#4

They often presume that she isn't going as a tourist, but ultimately to immigrate to the US and get a green card/ You can call the consulate or embassy and ask them if they'll accept a tourist (B-2)application for her which gets rid of the extra requirements of a K-3.

If I answer that the reason she is going is for the reason: "other" instead as "spouse of US Citizen" then would this avoid the problem and still be an honest answer (since your telling me that saying she is a spouse infers coming to move there)?
Also, we have an appointment for a few kids to get their US passports renewed and my wife is going anyway. Can she take care of her VISA then? (I also made an appointment for her in case)

if you don't mind, another question I now have is where to get the forms to sign for renewal of passport for a minor under 16.
Thanks
Dovid

Their general posture is the person is going to immigrate until proven otherwise. There are stories of B-2 applicants getting rejected since you have to prove that your spouse doesn't intend to immigrate, so it's riskier; Your best bet is to call them and explain your situation and see if they accept your logic.

The Visa applications for foreigners are generally done during separate hours from passport and other issues for Americans, so you'll need separate appointments.

See jerusalem.usconsulate.gov/passport-renewals.html
form DS-11