Does the US Army work with the NSA? Because I wouldn't be surprised if the reason they can't find staff is because a lot of techies are against the government s

Does the US Army work with the NSA? Because I wouldn't be surprised if the reason they can't find staff is because a lot of techies are against the government spying on all it's citizens. They might not want to be involved in helping the government surveillance plans. I guess there's also the financial aspect that the private section will pay more than the government. But I think the job (if you removed the betraying your country by spying on them stuff) would be rewarding enough to attract some people.