Some policies, when detached from political partisanship, could be appreciated by voters on both sides.
For instance, for those who believe in human rights and social justice (a supposedly 'left' concern), there's good cause for opposition to China. In terms of jobs and national security, wresting some of China's high-tech manufacturing capability back within US borders would be a boon for employment across 'middle-America' (a supposedly 'right' concern). More importantly, I think both the concerns of human rights, and the employment of your fellow citizens, should not be a partisan issue.
I think most people want the world to be a better place to live, with better human rights, and a wage. Allowing China to gain leverage on the world, despite a track record of human rights abuses, and building a trade deficit with them, isn't really in the general voters interest.
And this is just one example. I'm sure there's more common ground if you look just at policy.