The amd sucks, go for an i5 3570k for gaming and if you are going to do big video editing the i7 3770k. But don't go with an fx...
The AMD doesn't suck, it just isn't as good as the previous AMD generation for the money, or the current Intel. It is still good enough to play any game though, so you could argue it is the perfect chip for this use.
you don't need a 3570K, you don't even need an i5 for gaming, you can get along fine with an i3, as I saw myself when rocking a 2100. For video editing too, not really necessary to get an i7. If you are mashing up some videos and adding some effects, any chip can do that. It may, if the software is heavily multi-threaded, take less time to convert the final product, but unless you are rendering and modeling for said videos, there really isn't a reason to spend out on the i7
FX are fine, some people are just still stuck in the dark ages where CPU actually mattered more than the GPU for the average user. Get the best you can within your budget, even if it might not be "the best bang for the buck".
I somewhat agree, but your argument about the FX being fine falls down when you then say "get the best you can within budget". That is never the FX chips. The previous generation Phenom II chips are stronger core for core, clock for clock, yet cheaper. An i3 beats out any of the FX 4xxx chips and in most applications, the 6 and 8 too, it is only multithreaded software that it loses on.
As it stands today, AMD have nothing to offer in any market segment, other than the extreme budget user (ie, I play facebook games and look at funny cats) and the HTPC market
There both fine. Correct me if I'm wrong (I've been not out of this for a while). But basically they use different connections. So it really depends on what is compatible to your motherboard.
You are right and wrong. They do use different connectors, it does depend on your motherboard for which is compatible, but that isn't the only difference and never has been. Chipset and power consumption both matter for complete system compatibility, for the difference between the two, power consumption, performance, features, heat, overclockability, all matter and do make a difference