To push back is to help.
Disagreeing with someone is a generous act only when you can build on their idea with ideas that help them better get what they want or show them a better way. Because the people you seek to serve want to do something that means something for someone else.
Then how to make disagreements more productive? Instead of saying, "I hear what you're saying, and here's how why I disagree," consider, "Yes, and here's how we can make the idea happen faster and better." The object for improvement is not the person - it's the person's idea.
Pushing back in that way may take more work - you'll need to be mindful - but the payoff can't be measured and is worth it.
P.S. I don’t recommend pushing back in the way foxes do. We’re not foxes. But they’re cute to look at.