OK, maybe the body weights are similar, but I was referring to the complete setup. Sorry I wasn't clear. However, isn't just the 70-200 lens in your first shot something like 3 1/2 pounds??
Sony's 75-300mm that is often offered in a deal with the Alpha 300 weighs in a just 18 oz. The Canon lens weighs over three times as much.
Keep in mind that FrankP is talking about Sony 200 or 300 and is most likely not going to be buying $1,200 - 1,400 glass any time soon to put on it.
PS: I like your avatar, BTW: Jeff Dunham is freaking hilarious!
The 70-200 f2.8 is 2.8lbs. As for the lens options I make no assumptions on what glass the OP will or will not buy, nor do I make assumption as to how much money the OP chooses to spend. This is just a serious hobby for me, but I realize that the more important part of the system is the glass, not the body. Bodies will come and go but good glass will last for years.
It is no assumption on my part, rather it is from experience, that something like live view is not something the average photographer should consider as a primary reason to purchase a camera body. I work part time in a camera store. There was a lady that came in with a friend who was a Sony nut. (Not saying that all Sony users are nuts, he just bought Sony or not at all whether it was cameras, electronics etc.) He had convenced her that she needed a Sony DSLR. So she bought an A 300.
A few weeks later she came back and wanted to trade it in on a new camera. Why? The friend was convenced that Live view was the best thing to come along in photography since the invention of the shutter.
She had two problems with his notion after trying it out.
1 she bought the camera to take photos of her kids, including sports photos. The live view turned out to be worthless for that and most of what she was doing. It didn't control as easily as her little P&S.
2. She realized to take photos of her daughter at soccer games she needed better glass. Obviously the idea of spending $1800.00 for Sony's 70-200 vs $1200 that she saw the Canon went for was a shock. The owner gave her a good price for her A 300 and she walked away with a Canon instead. She has been back twice for another lens and a flash unit.
Again this is not a putdown of Sony. But anyone deciding on a DSLR needs to go in with their eyes open as to what their potential system need will cost. I have yet to figure out why Sony's 70-200 f2.8 is more expenive than Canons 70-200 f2.8 or 70-200 f2.8IS or Nikons 70-200 f2.8VR.
Live view is like anything else, a tool. But would you buy one brand of car based on the fact that it has a hydraulic jack in the trunk and the other car has a scissors jack? The OP needs to look at what they intend to use this camera for, figure out what system accessories that will take, and decide on it as a whole.