Trump has suggested other controversial tactics that Israel has embraced in its effort to curtail terrorism.
During the presidential campaign, Trump spoke of "going after" the families of terrorists and demolishing their homes.
Israel has routinely destroyed the homes of Palestinian suicide bombers or other violent individuals, and often jailed their relatives.
Trump has made a point of declaring war on radical Islam, mincing no words in using the religious label. Ditto for Israel.
But the most concrete policy alignment is his proposed wall along the 2,000-mile border with Mexico.
"The wall is getting designed right now," Trump told a conference of police chiefs Wednesday in Washington. "And it will be a real wall."
"A lot of people say, 'Oh, oh, Trump was only kidding with the wall.' I wasn't kidding. I don't kid. I don't kid," he added.
On Tuesday, the new secretary of homeland security, John F. Kelly, told Congress that construction of the wall could take two years and cost billions of dollars.
It will not be possible, Kelly said, to "build a wall everywhere all at once."
Fences and walls already line about 600 miles of the border. Whether more walls will make a difference is unclear; illegal immigration has been declining for years primarily for economic reasons.
Trump has insisted that Mexico would pay for the wall, and Mexico has repeatedly said it won't. That tiff led Mexican President Enrique Pena Nieto to cancel a planned visit to Washington last month to meet with Trump.
On Wednesday, Mexican Foreign Minister Luis Videgaray called on Secretary of State Rex Tillerson and Kelly in hopes of improving relations. Trump's son-in-law, Jared Kushner, attended the State Department meeting.
Videgaray told reporters that Pena Nieto had not rescheduled his trip to Washington. But the Mexican diplomat said he and Tillerson would launch a series of working meetings and that Tillerson would visit Mexico City in coming weeks.
Trump's invocation of Israel's counterterrorist policies has sparked growing concern by security experts and human rights groups.
Terrorist attacks in Jerusalem and in Israel have ebbed since construction of the wall began in 2000. It is now a little more than half complete.
But the decline in violence had multiple causes. Palestinian security forces now work more closely, if secretly, with Israeli security forces, and Palestinian intifadas, or uprisings, tend to have their own dynamic.
Moreover, the wall has inflamed tensions and resentment among Palestinians. The barrier, and a series of crowded checkpoints, have added hours to the daily commutes for thousands of Palestinians who live in the West Bank and travel to work on the Israeli side.
A report this month by the Republican leadership of the Senate Committee on Homeland Security praised Israel's security efforts in glowing terms.
The report, "Securing Israel: Lessons Learned from a Nation Under Constant Threat of Attack," credits Israel's extensive building of fences and walls along its internal and external borders for the decline in terrorist attacks.
"Israel's swift and effective border security measures provide lessons for the United States and other countries seeking to protect their citizens," says the report, which came out of a trip to Israel by committee chair Sen. Ron Johnson, R-Wis.
"Israeli fences have proven more effective than the fencing in the United States and, in regards to the fencing along its border with Egypt, was constructed at a significantly cheaper cost," it argues.
Israeli security experts say the barrier is not the same as the wall Trump has proposed. For one, Israel is trying to keep out terrorists, while Trump says his wall would primarily aim to stop illegal immigration.
"The analogy is somewhat limited," said Susie Gelman, chair of the Israel Policy Forum, a liberal U.S.-based advocacy group that focuses on Israel. "Any security barrier in Israel is effective because it is part of many layers of the security apparatus."
Israeli Prime Minister Benjamin Netanyahu, who has welcomed Trump's election and recently announced the construction of more than 5,000 units in Jewish settlements in the Palestinian West Bank, arrives in Washington next week. He will meet with Trump on Wednesday.
This week, the Israeli Knesset, or parliament, passed a law that would allow Israeli settlers to retroactively legalize homes they built on private Palestinian land.
The law was condemned by the United Nations and much of Europe. The Trump administration has not spoken on the issue, although it previously said that expanding current settlements may be an obstacle to peace.