[5] A 2020 New York Times article described the firm's "sprawling menu of wedge-issue litigation", which included defending Georgia's heartbeat law, representing Kansas in its efforts to deprive Planned Parenthood of Medicaid funding, and supporting an Alabama attempt to prevent the revival of the Equal Rights Amendment.

[3] Consovoy represented President Donald Trump in his efforts to shield his tax returns from Congressional committees and in lawsuits involving the Emoluments Clause.

[3][6] In 2020, his firm fought against California's efforts to send all voters absentee ballots, extensions to Wisconsin's mail-in voting deadline, and felon re-enfranchisement in Florida.

The New York Times described Consovoy as "a Trump lawyer who mixes Jersey guy affability with an affinity for some of the most divisive culture-wars legal disputes";[3] The Washington Post called him "[a]n outside-the-box thinker with a big imagination".

McCarthy told CNN in October 2022 that Consovoy was being treated for brain cancer, with which he had been diagnosed about two years earlier, and that he would not be participating in that month's Supreme Court arguments involving Harvard's and the University of North Carolina's affirmative action policies.