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So the political tide among conservatives and Republicans may be turning in favor of immigration reform. As a longtime supporter of reform who believes that immigration is a pro-growth issueI am delighted to see these developments.

If the GOP is to recapture the Senate come November and move on to retake the presidency in 2016, it must have a strong pro-growth message. Jobs and the economy are going to be key issues. Tax reform, regulatory rollbacks and a rewriting of Obamacare that ends the mandates and provides real health-care freedom to choose are vital points.

But so is the immigration issue.

Not only because it is pro-growth, but because the Republican Party must return to its big tent roots. It must follow the lead of Ronald Reagan and Jack Kemp. It must reach out to Latinos, African-Americans, young people and women. A conservative Catholic like myself can work inside the same tent as my Log Cabin Republican friends.

Read MoreRepublican leaders to block immigration measure

In doing so, the GOP can maintain its core conservative principles of economic growth, limited government and military strength. As Reagan taught us, strength at home in the domestic economy is vital to strength abroad in national security. That must not change. Nor should the GOP's longtime support for defending the life of the unborn.

But the GOP will not be successful unless it actively reaches out to groups that have recently deserted it. It must show independents and disaffected Democrats that the Republican Party is open for business, ready to spread its wings to attract greater support.

Immigration reform is a crucial symbol in the GOP reach-out effort. It will create new trust in a party that can govern for all.

All the recent polls say immigration reform is popular. A survey by the Partnership for a New American Economy shows that around 70 percent of Republicans who identify with the tea-party movement support immigration reform. They back the idea of undocumented immigrants obtaining either legalization or a path to citizenship. And 76 percent of surveyed Republicans support improved border security and letting immigrants remain in the U.S., while 69 percent say they would also support a candidate who backs broad reform.

Read MoreImmigration, wage reforms near: Obama advisor

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Kudlow: Immigration reform is pro-growth