Quick question, does your teleport nation use teleporter that negate the law of thermodynamic? Because if your teleportation machine can refill gas tank, and ammo bays for cheaper then the equivalent alternative, this sounds relatively broken.
I mean, the main problem of getting stuff in orbit, is that it cost a huge amount of energy to send ridiculously small amount of material. So even if you could send a teleporting booth up there, and you started sending material, it would probably be cost prohibitive to build rod from gods station if you spend so much energy that you cripple your economy to do so.
The transporter may be able to turn electrical input directly into gravitational potential energy- the real
cost of putting things at orbit altitude is about forty-five megajoules per kilogram... and that's only about twelve kilowatt-hours. There's an added problem if you're worried about conservation of momentum, but that's a separate issue.
What's so expensive about rockets is that they have to release this energy in a controlled fashion, and you can't use electricity to do it, you have to use burning chemicals. Dollar cost per kilogram is not the same thing as energy cost per kilogram.
Also, something not taken into consideration, is that it's one thing to have endless fuel, and maybe endless ammo, however, as far as I know, high tech fighters are some of the most demanding machines when it comes time for maintenance, I know a F-15 takes roughly 30 hrs of maintenance for every hr of flight. F-117 demanded as much as 100+hrs of maintenance per hour flown.
This is gonna be an issue.
I do imagine however that it would be mainly useless to fly up to 22km those big ships, simply build 400m wide round tanks, fly them at 3 meters from the ground, and simply use them as super tanks. The number one problem for tanks these days is their weight, because you kill the motor trying to move them, and you can't move across most bridges, both are negated by the anti-grav device.
It's more complicated than that. Hovertanks that fly at low altitude (ground level, basically) are still vulnerable to things like minefields, cannot see over terrain features, aren't free to dodge at high speed in just any
direction because they'll smack into a mountain, and so on.
Skimmer's the guy to talk to about this, but if you really could construct flying battleships that had anything like the level of protection enjoyed by real battleships... I'm assured by people I trust that they'd make a significant difference.