Majorities of voters in red, blue, and battleground “green” states want President Barack Obama to modify his agenda to take House Republican proposals into account, according to a new Zogby International poll. The results were announced Tuesday, in the run-up to House and Senate votes expected this week on a short-term spending deal that would avert a government shutdown and prolong the budget fight.

Zogby’s poll of 10,000 likely voters took place just days after Obama’s State of the Union speech. It divided voters into three camps:

* Red states that did not vote for Obama in 2008 and are unlikely to do so in 2012.
* Blue states that did not vote for McCain in 2008 and are unlikely to vote GOP in 2012
* And the following battleground “green” states that could go either way in 2012: Florida, Indiana, Iowa, Michigan, Missouri, New Hampshire, New Mexico, North Carolina, Ohio, Pennsylvania, Virginia, and Wisconsin....