PHOENIX — No single issue is going to clear a path to the White House, at least not in Arizona.

 A new statewide poll shows voters have several issues they identified as “very important factors’’ in choosing who to support for president.

 “Voters are looking for more than unidimensional candidates,’’ said pollster Earl de Berge.

 “It’s not just good enough to be pro life or it’s not just good enough to be against the war, depending on what side of the aisle you’re on,’’ he explained. “They really see a much more complex environment of issues this year.’’

 And that, he said, means candidates will have to address them, in depth, if they hope to corral the votes. But de Berge found that what people consider important is not universal.

 One big divide is political.

 Republicans appear to have a much narrower focus of top issues than Democrats.

 Two thirds of those asked list illegal immigration as their to factor when deciding who to support for the White House, followed at 59 percent who say a candidate’s stance on terrorism is very important.

 And everything else was rated a top issue by fewer than 50 percent of Republicans.

 By contrast, de Berge said he found a higher number of Democrats concerned about a much broader number of issues.

 No. 1 on the list is the situation in Iraq, followed by health care, the economy and education. But more than half of Democrats also said other issues will be a big concern in deciding who to support, including terrorism, privacy rights and the environment.

 And independents, who could be the deciding factor in a close vote, share much more in common with the Democrats than Republicans: More find the war in Iraq to be their top concern versus other problems.

 The survey also found a similar disconnect between the sexes. Education, health care and the economy were the top issues that women said would help them to decide who to support for president, with the Iraq war a very close fourth. Among men, Iraq led the list, followed, in order, by immigration, terrorism and the economy.

 And de Berge also found that, among men, no single issue was listed as a major concern by more than 60 percent of those asked; among women, four topics generated that much interest.

 The survey, conducted late last month, has a margin of error of 6.5 percent for Democrats and 6.3 percent for Republicans; the margin of error for men and women is 5.6 percent.