I actually never have played it, I just adore Sir Daniel. I'm planning to eventually buy it on the PS Store to play it on the PSVita, but I heard it hasn't aged well. Although, since I want to play it on the Vita instead of the PS3, maybe I should buy the PSP remake instead.
Technically, yes it is Snake. But this Snake is actually different from the Solid Snake, the one you're probably thinking of. (The protagonist of most MG games and the one who appeared in Brawl.)
He's actually Naked Snake, aka Big Boss. He's the main villain of the original game and the main protagonist of MGS3.