I don't think they're deluded in the slightest.
1. It's a plausible sounding sales pitch.
2. It's a bait-and-switch to get the hook set, ensnare people, and use them for political ends.

It's a radio transmitter in a can. It would take an even larger departure from known physics to make it go boom. We have a good deal of experience with radio transmitters in space.

OK, I will try to restate in my baby talk since I don't remember this correctly.

Given that you are accelerating, the appearance to you is that you are doing so linearly, and time dilation is happening to you. It could appear to you that you reach your destination in a very short time, much shorter than light would allow. To the outside observer, however, time passes at a different rate and you never achieve light speed.

I am having an equally hard time thinking of how Earth is more habitable than Mars while atomic bombs are going off or impactors are impacting. If you wait a while, sure it's more habitable than Mars. But for that moment, no.

Good. Now we've gone from "they're all scum" to "some of them (possibly including Rand Paul") are good and trying but the Repubican machine and its operators will block them."

At this point we're mostly on the same page.

Ron Paul is clearly one of those good guys. And the Neocons controlling the R party machine (one of the four major factions) steamrollered him and his supporters (sometimes violently), and changed the rules to make it even harder for a grass roots uprising to displace them.

Two debates are going on right now. One is between working through the R party (is it salvagable?) or coming in with a "third" party - either an existing one or a new one (is that doable or do the big two have too much of a lock?)

The other is whether Rand is a sellout to the Neocons or if he's just more savvy than his dad and trying to look non-threatening to them in order to get the nomination. Andrew Napolitano, who knows him personally, says he knows him to be a genuine liberty advocate, and I trust A. N. on this subject.

To an outside observer. I don't think it's the same in the inertial frame.

Before we call this real, we need to put one on some object in orbit, leave it in continuous operation, and use it to raise the orbit by a measurable amount large enough that there would not be argument regarding where it came from. The Space Station would be just fine. It has power for experiments that is probably sufficient and it has a continuing problem of needing to raise its orbit.

And believe me, if this raises the orbit of the Space Station they aren't going to want to disconnect it after the experiment. We spend a tremendous amount of money to get additional Delta-V to that thing, and it comes down if we don't.

If nobody knows how it works, how did the guy invent it?

LOTS of stuff gets invented without the inventor knowing HOW it works, underlying physics wise. All that's necessary is to notice THAT it works, work out some details of "if you do this much of this you get that much of that", and engineer a practical gadget.

As they say, most fundamental discoveries don't go "Eureka!", they go "That's odd ..."

this gem ... hidden in the article:

"... whether it is possible for a spacecraft traveling at conventional speeds to achieve effective superluminal speed by contracting space in front of it and expanding space behind it. ..."

They've been playing at that for a while. It would allegedly work by creating a condition of cosmic expansion behind the craft and its converse in front of it, so the spacecraft is in a bubble where it's running slower than lightspeed (i.e. stopped) but the cosmic expansion and contraction regions behind and ahead of it each total to the opposite sides retreating or advancing faster than light (which is allowable).

I'm not holding my breath waiting for that to fall out of this - or anything. Effective superluminal translates to "Sending messaages into the past." and "Violating causality." if you pick your reference frames correctly. So I expect flies to appear in this ointment at some point: Like something broken about what happens at the sides, needing big-bang energy levels (and not being able to transfer them between the front and back so they're free), or not being able to set up the condition in front because the agency making it happen must involve actual superluminal signal propagation.

Nevertheless, an "electric motor" that works by pushing against virtual particle-antiparticle pairs (or the total mass of the matter in the universe, or of an inverse-square weighting-by-distance of it so it's mostly the local stuff, or dark matter, or the neutrino background, or whatever), instead of ejected exhaust, is just DANDY! Let's see if they can make it work for real at human-palpable, nontrivial, efficiencies and power levels.

At our house, electricity usage goes UP in the winter -- We heat with a geothermal heat pump with resistance heat as the back-up for very cold days.

I had a heat pump once...was a bit of a shock to find my electric bills in the winter were about the same as in the summer, having moved from a condo with gas heat where the combined bills were lower in the winter than in the summer. I'll never have electric heat (whether heat pump or otherwise) again if I can avoid it. The difference in cost between it and gas heat is ridiculous.