Kushner is in the region as part of an effort to broker Trump's "deal of the century" aimed at a long-term resolution to the Israeli-Palestinian conflict.
The dog's owner Megan Brainard of Anoka, Minnesota, will receive $1,500 for Zsa Zsa's win.
"Immigration issue are not just an immigrant problem. It's the entire country's problem," said protester Manuel Muñoz.
The baby's second name, Te Aroha, means "love" in Te Reo Maori, one of the country's national languages.
"I'm speechless. I'm so excited it's actually happening," said Hessah al-Ajaji.