Only a few minutes after President Obama finished his carefully balanced speech on the Middle East last week, Republican presidential candidates and lawmakers began twisting his words to suggest that he was calling for an epochal abandonment of Israel.

“President Obama has thrown Israel under the bus,” said Mitt Romney. Tim Pawlenty wrongly said Mr. Obama had called for Israel to return to its 1967 borders, which he called “a disaster waiting to happen.” Rick Santorum said Mr. Obama “just put Israel’s very existence in more peril.”

Others went even further. Representative Michele Bachmann and Mike Huckabee, a former presidential candidate, said Mr. Obama had “betrayed Israel.” The worst line came from Representative Allen West of Florida, who somehow believes Mr. Obama wants to keep Jews away from the Western Wall and wants to see “the beginning of the end as we know it for the Jewish state.”

Some Democrats were also piling on, evidently afraid Republicans will paint them as anti-Israel. It was not helpful when Senator Harry Reid, the majority leader, said that no one outside of the talks should urge the terms of negotiation, clearly repudiating the president’s attempts to do just that. Steny Hoyer, the House minority whip, and other Democrats have made similar statements.