Kasich, who ran against Trump for the 2016 Republican nomination and is a prominent critic of the president, also commented on Trump's holding a rally in OH on Friday for Balderson. "I don't think so", Trump said. The statement didn't criticize Trump.
Ohio's special election on Tuesday is being viewed by some as a test of Trump's control over key swing states in the upcoming midterm elections in November.
"Lebron James was just interviewed by the dumbest man on television, Don Lemon".
"We want our country to be a sanctuary for law-abiding Americans, not criminal aliens", Trump told supporters packed tightly into a sweltering high school gymnasium. "And we're doing a lot of things people don't even know about".
That digital missive came several hours after the president celebrated the first day of his weeklong vacation at a New Jersey golf club he owns by unleashing a series of tweets whacking at fan favorites: the "FAKE NEWS!" media and "Rigged Witch Hunt" special-counsel investigation into his administration.
He went on a screed against illegal immigration and basked in cheers as the crowd chanted a campaign rallying cry: "Build the wall, build the wall".
President Trump also said in his tweet "I like Mike!" in an apparent reference to the debate over whether LeBron James is better than National Basketball Association legend Michael Jordan.
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"Jim Jordan, how great is he?"
Trump touted Balderson's record on crime and immigration and claimed that O'Connor, if he won, would be a "puppet" of Nancy Pelosi, who stands to reclaim the title of speaker of the House if Democrats seize control of the body this fall.
"Oh excuse me, I nearly forgot I would have been in big trouble, the great Lou Dobbs", Trump added.
Trump called Balderson "the guy who will do things" and dismissed O'Connor as a person nobody knows.
But despite state GOP efforts to avoid referring to Trump, when all is said and done it is still the Party of Trump - and, on a historical basis, the Party of John Rowland, Lowell Weicker, and Jodi Rell.
He defended his trade policies and, at one point, seemed to suggest that the markets would be up another 40 percent without his tariffs - but said the measures were needed or the nation would eventually have to "pay the piper".
Trump was traveling Saturday to OH to hold a rally for state Sen.