For nearly two years, the Arab states that maintain uneasy relations with Israel have managed the war in Gaza as a political crisis, keeping up contacts despite their simmering frustrations. The Israeli attacks on Qatar and Gaza City, within one week, now have some of those states wondering whether their own security may also be at risk. Across the Middle East and beyond, Israel drew harsh condemnation for its Sept. 9 strike on Hamas leaders in the Qatari capital, Doha. “For Egypt, Jordan and Turkey, it would be foolish not to be concerned that there could be attacks on their country,” said H.A. Hellyer, a Middle East security expert at the Royal United Services Institute in London and at the Center for American Progress in Washington.