This is the Troy Rising series by John Ringo.
The Goodreads synopsis of the first book mentions aliens dragging a gate to other worlds into the solar system:
First Contact Was Friendly
When aliens trundled a gate to other worlds into the solar system, the world reacted with awe, hope and fear. But the first aliens to come through, the Glatun, were peaceful traders and the world breathed a sigh of relief.
Who Controls the Orbitals, Controls the World
When the Horvath came through, they announced their ownership by dropping rocks on three cities and gutting them. Since then, they've held Terra as their own personal fiefdom. With their control of the orbitals, there's no way to win and earth's governments have accepted the status quo.
Live Free or Die.
To free the world from the grip of the Horvath is going to take an unlikely hero. A hero unwilling to back down to alien or human governments, unwilling to live in slavery and enough hubris, if not stature, to think he can win.
Fortunately, there's Tyler Vernon. And he has bigger plans than just getting rid of Horvath.
Troy Rising is a book in three parts-Live Free of Die being first part-detailing the freeing of earth from alien conquerors, the first steps into space using off-world technologies and the creation of Troy, a thousand trillion ton battlestation designed to secure the solar system.
And this review of the first book mentions aliens releasing a virus that makes blonde women go into heat:
It’s ironic that Tyler complains that liberals see him as rich and powerful and assume he’s greedy and domineering because… they’re right, he is. He expects the government to kowtow to him. When he decides to go messing around with mirrors in space and starts melting asteroids, it’s hard to believe that the world’s leaders would let him get away with that just because he’s rich. All of this disgusted me, but when the aliens send a virus that makes blonde women go into heat, I dismissed the whole thing as John Ringo’s ugly wish fulfillment fantasy. (And all women are appraised by whether or not they’re “stacked.”)