I'm afraid it isn't all that stimulating. I spent a couple days riding around with the local nuisance gator guy for an article. We got a call on a "huge" gator in a pond in a subdivision. Got there and it did look pretty big sitting on the opposite bank from where we were. Gator guy let me do it all. Put a big slab of raw liver on a treble hook and cast out across the pond (offshore type fishing rod). Let it drift until the gator finally decided to investigate, then when he has it in his mouth, let the line play out so he doesn't get suspicious. When he got back to his resting place on the other bank, had to wait some more for him to swallow it - no real way to set the hook due to teeth, etc. Once you're pretty sure he's swallowed it, start the reeling in process - easily the hardest part of the whole thing. As soon as I started reeling, the gator dove. I kept reeling but he stopped moving. Gator guy said I had to wait him out. They can stay submerged for a couple hours, but luckily this one didn't - it was about 100 degrees and 95% humidity that day. I finally got him over to the bank, Gator guy got the noose around his neck and I sat on the gator while his mouth was wrapped. He was a lot smaller close up than I expected, only about 5' long (and most of that is snout and tail), which meant he could be kept or released. We gave it a couple days to see if the hook would pass, it didn't, I got dinner out of it. And a decent article. If you want to see the pic, PM me and I'll send it to you.
I also got to help release a few smaller gators in the 3 - 4 foot range. If you've ever held a shark that size, the body strength is about the same.