Conway, who almost became a top Trump appointee at the Justice Department, later said that his criticism was a form of tough love for the president.
"We don't need the help but will take it!" he tweeted.
It is not impossible that this could make the high court more reluctant to grant Trump the broad latitude his administration is demanding - suggesting, once again, that Trump's own impulsive words and tweets are badly sapping credibility and could undermine his own agenda.
Kellyanne Conway on Monday condemned what she called the media's "obsession with covering everything (Trump) says on Twitter and very little of what he does as president". The Wall Street Journal notes, "Had the White House done such legal due diligence in the first place, the travel ban might not have become a political bonfire - not least because the President enjoys wide constitutional and statutory discretion over immigration and national security".
Linguistically, a travel ban sounds a lot like a Muslim ban - which is what the original ban was popularly called, and what gave rise to multiple courts' conclusion that the order was motivated not by national security but by unconstitutional anti-Muslim prejudice.
Tisch said it was still too soon to have hard data on the exact impact of Trump's proposed ban, but one of Loews' hotels in Miami has had groups cancel because they had attendees from a travel ban country.
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Trump also said "the Justice Department should have stayed with the original", broader ban "not the watered down, politically correct version they submitted to Supreme Court".
Legal experts said Trump's tweets on Monday could complicate his legal team's efforts to defend the ban. But that strategy has not proven effective yet, as judges have taken Trump's statements into consideration.
Even Conway's husband, George Conway, criticized Trump's tweets about the controversial travel ban that has been blocked by federal courts and is now in front of the Supreme Court - and Dershowitz said that one "gets to him". There are over 40 different countries worldwide that are majority Muslim that are not affected by this order.
Trump argues that the ban is crucial for safeguarding American security, and he has intensified his push for it in the wake of the weekend van and knife attack in London that left seven people dead and dozens injured.
"Trump will use every terrorist attack to argue the United States needs to get tougher on border enforcement. (Supreme Court)", he posted at 6:25 a.m. EDT Monday. We wound up with this president because millions of Republicans could not prioritize character, decency and overall fitness to serve over their mundane and frankly petty partisan wish list (28 percent top marginal tax rate!). And the answer is obvious: "Trump told us it's about banning Muslims", said Micah Schwartzman, a professor at the University of Virginia School of Law.
Meanwhile, and it pains me to write this, our president acted like a clod, a heartless and dull-witted thug in sending out a series of tweets. "We need to work with allied, democratic governments to reach worldwide agreements that regulate cyberspace to prevent the spread of extremism".