They might be, but so far no one but Australia is flying the E-7A. Everyone else in the Western world still flies the E-3. At present, every E-3 AWACS in the world uses a Northrop Grumman AN/APY-1/2 AWACS radar in a rotodome.
I know what E-3 and E-7 are. Switching to AESA improves performance but it does not make you omniscient.
Yes of course. It's been the remit of Space Command for generations now to operate those radars. They are specifically designed and aimed at detecting and tracking solely LEO objects, so naturally they're bad at finding near Earth objects. They're even quite bad at tracking out to GEO, which is why Space Command is asking for money to build new radars specifically to deal with an anticipated sudden jump in cis-Lunar traffic when Starship is completed and Artemis flights begin and when China establishes their Lunar base. Basically what Space Command has today are ICBM trackers and that's all. They are incidentally useful in detecting the other random crap in low orbit, but they're not good for looking at the solar system. There's a reason why astronomers were using Arecibo for that and not the amusingly ambitiously named Space Surveillance Network (for very small values of 'space').
Part of Wenchell's argument is that because there is no weather or atmosphere in space, radar and other sensors will work at much longer ranges than they otherwise would. You do a fine job of illustrating that isn't necessarily the case. You don't have to worry about the horizon problem anymore, which does improve performance. But a SPY-6 sized radar isn't going to give you target data out to Jupiter.
Yes, and the radar I'm talking about to make Winchell Chung's observation a reality is all of that multiplied by $BIGNUM. I'm talking about an orbital array powered by a dedicated nuclear reactor, with a radiator array sitting behind it (or possibly between its elements; there are sun shield considerations) that's basically as big as the radar array itself. It will be phased array because it will be too big to be swinging the thing around all the time, even in orbit, regardless of the performance advantages of phased array (which are apparently considerable; exactly how advantageous is classified). I reiterate, we are not tracking every pebble in the inner solar system because we aren't even trying. Because it's expensive. It's doable, but it's 'astronomically' expensive. (Har har.) Once we are tracking every pebble, everything that's not a pebble in the catalog is easy to see, even if it only has the apparent radar cross section of another pebble.
What you describe is less a radar and more a microwave based directed energy weapon at that point. It would also be absolutely massive from the radiator surface area required. I assume you want at least equivalent to a SPY-6 on the newest Aegis boats. So we are talking megawatt range output for the array. That would require a reactor far more powerful than what has been put in to orbit in the past. Not impossible but not really feasible yet. So don't go expecting the space force to launch it nay time soon. Totally viable for a Sci-Fi setting without pulling BS.
Hell, I'll bet a nickel (in 2023 dollars), that US Space Command's first major off-Earth installation is an orbiting radar array, though it may not be quite as ambitious as the one I'm describing. When SpaceX starts flying to Mars, and more importantly, starts flying back from Mars, Space Command is going to want to keep an eye on that traffic. In truth, they should.
You have decent odds on that. They've already announced plans to surveil the moon.