In the absolute worst case where Mars managed to develop space flight before they made big guns, they could simply fly up to the missiles and damage them with telekinesis such that they can't detonate. Mars would then get another unremarkable crater.
I think you're underestimating the advantage that Mars would get with its free access to space and reactionless engines. There wouldn't be boots on the ground, or really any need to bother with infiltration. Send a hundred ships to the Earth-Moon system, then rain down moon rocks onto Earth cities until they surrender. Being near Earth gives Earth more of an advantage because rockets can launch at any time, and lasers might be useful from the surface, but even with Lanterns and Superman, I don't think Earth could actually fight a Martian invasion fleet. Being able to resist the efforts of a telepath or two doesn't mean they're immune to a couple dozen telepaths attacking at once.
If they wanted, Mars could accelerate a huge asteroid into an impact trajectory with the Earth, and the Lanterns would be the only ones who could do anything at all to change the casualty numbers.
Regarding the missiles, I don't think most Martians have the telekinetic range to properly disable a missile flying fast enough to get to Mars in the first place. Even M'Gann would likely struggle with that, and she's noted to be exceptionally strong as Martians go IIRC.
As for the moon rocks scenario, this planet has a number of people who can fight and disable those ships before the damage gets that bad. And another point that I think we
both forgot: the Green Lantern Corps exists
precisely to stop this sort of thing. If the Earth lanterns aren't enough to handle it, the Guardians won't take that lying down, given their previous involvement with Mars. Earth might lose in that scenario, but Mars won't win.
Again, I think you're forgetting about Superman in that asteroid scenario. And Wonder Woman. And Captain Atom.
And every time Dr Light was captured, who gained access to his light manipulation suit? The Government.
No, that can't possibly be right, because if they
had it, they'd
use the damn thing and we'd have Dr. Light, as sponsored by the government. This never happens, and so the government clearly never got their hands on it.
And let me fix something for you- The project to take out Superman doesn't have a telepath on the payroll. That in no way shape or form means that the government as a whole has no telepaths. The FBI doesn't have stealth jets, that doesn't mean stealth jets don't exist.
No, again, that's
stupid. If they have a telepath, then they would damn well put that telepath on the team meant to stop Superman in the event of telepathic coercion. That's literally the most expedient option for stopping Superman in the event of mind control, and the government isn't stupid enough to not realize that. Your example of the Revolutionary War psychic says absolutely nothing except that they had a telepath
back then. If they had one
now, their plans would look very different.
There's a Justice League story which takes place during a White Martian attack. Someone -I think it was Flash- says to Plastic Man and a martian posing as Plastic Man 'tell me something only Plastic Man would know. The martian reads his mind and tells him something.
Well,
that's contradictory, given that during the Burning Martian storyline Plastic Man was noted as being explicitly immune to telepathy. Unless... wait, did you mean the Martian read
Flash's mind? Because if so, that wasn't very clear from your phrasing. Regardless, that's
stupid Master/Stranger protocols; given that you've established that psi-baffles
exist in this universe, nobody with the power level to engage a Martian should be going
anywhere without one of those in the event of a Martian invasion, so the point would be moot.