What I get from it is that we are moving faster than the speed of light but it can't be seen like that because we are all seeing the earth from the perspective of moving with it.
Right. The thing is, to US, we aren't moving. Though, from the Earth's "Perspective", We're really hauling ass. The other thing, and what I meant by the mass comment, is that if you're strapped to a rocket, blazing at a good clip of C, your mass will increase. Same general theory. You may not be able to tell, from where you are that you're going 0.6C and climbing, but, anyone else will. The thing about relativity is, if you can't even SEE someone going 1.1C, then I HIGHLY doubt you'd be able to do it, lacking observation. EX. Particle, in an accelerator, going 0.7C. It's mass has increased. Smack it into something, you can tell. Relativity is fine and good, but C is, well, C. And, the earth, object of acceleration, has that perspective.
Addendum: Why would we not notice the change? If velocity is not added linearly, and acceleration is a change in velocity, then we would notice. Again, the earth has the perspective here. We don't particularly matter.
Edit: Here's a nice, simple test. By now, we should be upwards of .5C, correct? (Even non-linear, 1 year of Acceleration = C. We have AT LEAST 3000, much closer to billions of years.) Particle acceleration, upward. Once it breaks about .5C, we should lose it. Remember, we inherit velocity. We've been going this fast, so we don't notice, but we're still hauling ass. Fire a particle, it breaks C, and we don't see it.