WASHINGTON — Under the massive vaulted ceiling that made their voices echo through the ornate Washington National Cathedral, Pennsylvania’s Democratic governor and his Republican counterpart from Utah spoke of the bipartisan bond they wish they didn’t share.

Political violence — which barreled through Gov. Josh Shapiro’s door with the attack at his home in April and arrived in Gov. Spencer Cox’s state with the assassination of conservative activist Charlie Kirk in September — is a growing problem, they said, that can no longer be ignored.

“We have a crisis in this country that requires all of us to do better,” Mr. Shapiro said as he described the attack on his family and a string of other incidents throughout the country.

In a panel conversation at what Mr. Shapiro described as an “extr

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