To be clear from the outset, while the facts in this post are accurate, the proposed trip is purely hypothetical. I am simply curious about what would happen if there actually was such a trip planned and figure that only FFers to/from Israel and the US might be able to answer the question.

Fact 1. My daughter is a dual citizen who would have to enter the US on her American passport and return to Israel on her Israeli passport. She has not spent sufficient time in the US to qualify her daughter to be an American citizen.
Fact 2. My son-in-law is an Israeli citizen who has a visa which allows him multiple entries into the US.
Fact 3. My granddaughter is 11 weeks old and, for some reason, refuses to get out of her crib and go to the Interior Ministry to get a passport.

Hypothetical trip: My daughter and son-in-law want to visit the U.S. and take my granddaughter with them.

How would they handle this? Can my daughter get the baby put onto her two passports? (Remember, the baby is not an American.)

If my son-in-law puts the baby on his Israeli passport, would his U.S. multi-entrance visa apply to her also?

Would the baby have to get her own Israeli passport, make an appointment for a visa interview at the American consulate, and hope that she is not considered to be a terrorist threat?

Is there still another way that the baby could get permission to enter both countries?

I don't think there is an option anymore to "put a baby" on parents passport.
The baby is Israeli so will need an Israeli passport to leave the country. He can get an American visa without an interview.

I think that's right. But just want to jump in to say mazel tov, Zaida!

Supposedly, a birth to one American outside of the country is eligible to receive a Consul Record of Birth Abroad. This would be the first step toward aquiring a USA passport for an infant if that's what they want to pursue.

That is only true if the American citizen has spent a certain amount of years (I don't remember how many) in the US. My daughter has only been there for two weeks when she was a little child.

There is a way for my granddaughter to get American citizenship based on my residence in the US, but it can only be applied for in the States and requires her to live there for six months.

Sorry I dont have the answer but I do have friends that live in EY are US citizens got their kids US citizenship and their kids got their kids(my friends grandkids) US citizenship as well, AFAIK none of my friend skids spent any large amount of time in the US. Some did apply over here when they came to visit saying it was easier then in EY, teh grandkids ages all varied

I think the key is having at least 1` parent that is a US citizen, best if its the mother

It doesn't matter if it is the mother or the father. Both of my children were born in Israel and were recognized as American citizens as soon as I reported their births to the consulate in Tel Aviv. The key, however, is that I had lived in the US for a sufficient number of years.

Qi know from many friends that American grandparents, regardless of,where they reside can get their grandkids American citizenship with a short visit to the US.

HOWEVER, don’t forget than once an American they are obligated to file, and maybe pay American taxes. So,think through ALL ramifications before taking any action,

And those I was referring to were born in Israel, and some never set foot in the US till they had a reason to come. Yet they have US Passports and are citizens since at least 1 parent was. Better put my friends were born and raised in The US, their kids some born US some Israel are all married and are US citizens with US passports and their kids who never were in the US (mind you their parents grew up in Israel and never lived for any length of time in The US) are US citizens since their parents are and like their parents never lived in The US for any length of time or some never set foot on US soil yet at least.

Even better an Israeli married an American gir zedakis and has 11 kids, all living up in Zefat. When they were giving out the stimulis $$$ they got it too close to 16K each time. The key was being a US citizen , not 1 of those 11 kids every set foot on US soil.

Sorry Dovster but your answer is incorrect. There is a procedure called citizenship using form N-600K (very important to add the K). This allows a child who never lived in the US to get citizenship based on a parent or grandparent who lived in the US for a cumulative period of 5 years, two of which were over the age of 14.
If there is only one citizen parent or grandparent, the procedure has to be done in the US after sending in the appropriate form and documents and having an appointment setup. The current fee is $1170 per child plus a B1/B2 US visa at a cost of $160 must be attached to an Israeli passport in the child's name. The procedure can take a few months to a year. I have done this numerous times for my grandchildren.

You can get all the information at the USCIS website There are offices all over the states and you can pick what is convenient for you. If anyone PMs me I can send give them some very useful tips based on over 15 years experience doing this.

This procedure is good for one generation only and cannot be passed on to great grandchildren.

I know no solid info on this, but just wanted to say that I like the thread title. And my brain is now slightly twisted.