I highly doubt the NRA will say or do anything. Hell, they're probably the ones who gave him the idea.
I'm going to say it again, and keep on saying it, because it's the fucking truth: the NRA is a white supremacist group with the ear of well over half of our government officials, from Senators and SCOTUS judges down to local school board members. They are horrible hypocrites and they're dangerous to anyone that disagrees with them. For instance, did you know that despite the idea of mandatory gun registration being at the top of their list of the coming "THEY'RE COMING FOR YOUR GUNS" apocalypse, the most extensive registry of gun owners was actually compiled by the NRA? Not only that, the information was obtained without permission of those who are on it, and non-gun owners such as family members are also included. Nobody outside the NRA's offices knows who is on that list, what other information they have, or how much about the families of those people is kept. Pretty fucking scary, right? Oh, but that's just the half of it. The other half is that the NRA also has an "enemies list," made up almost entirely of social justice groups. If your group advocates for PoC, women, religious minorities, domestic violence survivors, unions, teachers and childcare providers, health care experts, or just plain old peace and non-violence, guess what? You're being targeted by the NRA. And I don't choose that word lightly. The NRA, and many of the other 2A advocacy groups, have spent decades working against these groups. For all their rhetoric about how people should be buying guns for self-defense (assertions that aren't supported and are often contradicted by pretty much all non-partisan studies), they have spent a considerable amount of their energy preventing law enforcement from keeping guns away from violent domestic abusers, stalkers, and people who threaten peaceful organizations. In fact, many 2A advocates go out of their way to go after women and PoC, even those who have used guns in self-defense, with nary a peep from the NRA.
So here we have an extensive registry of both gun owners (and possibly their families), combined with an enemies list mostly made up of those who want to improve the lives of those who have been mistreated the most, many of whom are affected by gun violence. The organization that holds it has become inextricably entwined with an entire political party that is currently thriving on bigotry and violent reprisal against those very same groups of people. They're enthusiastically supporting the man who has become the avatar of all of this, and who has the potential to shape the country's executive and judicial power for decades. I don't think the NRA would hesitate for even a millisecond if a Trump Administration asked for a little look-see to help them with his national stop-and-frisk plan. I think they'd be overjoyed at the chance, honestly, because that's just how powerful and evil they are.