My thinking is this: there's a big war with aliens, which we have very little chance to win, so everyone's obviously a little panicky. Then suddenly it turns out there's a black-ops group which was preparing for an alien invasion, that has access to cutting edge military technology, and is slowly developing alien-based tech. This, of course, would cause some governments to feel threatened, hence poor relations and low funding of such an organization.
So an idea: what if we implement some sort of propaganda mechanic, like, e.g., having a camera-man on a mission to record a glorious victory over the xenos. Or send some of our scientist to universities around the globe to share some insight on the aliens. Maybe spare experienced engineers to help rebuild a citiy's infrastructure after a terror attack? And while we're at it give the police/army some nice laser pistols to help them fight of any future attacks.
Of course the downside is, that if we record one of our soldiers dying, or letting a civilian die, or worst of all losing all together, we lose credibility as Earth’s last hope. And obviously scientist that are not interrogating aliens or developing plasma rifles are being paid too much, as are engineers not crafting ‘lazerz’.
Lastly I think that this mechanic shouldn’t raise relations, or funding, but negate loss of those.
What do You guys think?