Soldato
You don't have to do all the side missions, you can level up without them, the puzzles you can press a button to auto complete the actual puzzles too.How did you find the check list style map? Each time I start playing it, I feel over whelmed with the amount of items to collect and puzzles to solve in order to progress my character. Is the game actually playable if you skip the majority of those?
But you won't power up as quick, however I just used the Iron Spider suit for the whole game and unlocked the web upgrades which you need(well I did) late game.
If you do some street crimes and clear out some strongholds, that gives you points needed for some web upgrades.
If you're a certain vintage from before the movies/cartoons, Spiderman is pure comic book stuff, when the story takes off it's Amazing-pun intended.