You have wolverines idea a bit wrong. You can use doom beam to protect you on the ground, and their isn’t any reason to super-jump with him unless your opponent is already at the top of the screen, and even then it’s dependent on the character you approach. As an example, not much reason to be super-jumping at doom because his projectiles will keep you down, and footdive is always scary. Wesker however, as deviljin mentioned, doesn’t have many conversions at SJ height, so you could get up their to either dive-kick him or throw him, but his teleport down to the ground makes your SJ unsafe. Try to move to about midscreen and call dr. doom while he is guaranteed to be in it (normal jumping or falling to you from super-jump, or if he’s teleporting down, your looking at a free combo). This is your time period to move in, using crouching lights and dive kicks to pressure him. calling beam and immediate berserker slash is safe because of beam, and can convert into a combo easily, or using berserker slash without beams protection is ok provided you have the meter to spend on berserker charge, which will recover you to convert if you hit.
A super-jump while wesker is on the ground, or if he teleports down before your SJ makes it to him is very unsafe for wolvie. wolvie has no-good air movement, but he can change the rate of his fall with divekick while putting a hitbox out, or you can use drill claw to make it harder for him to stay near your landing spot. Avoid this situation either way as much as you can, and force the opponent to play your ground game. Watch tournament vids of justin wong or pr rog and try to understand the reason behind everything they do, and try to take that knowledge into your wolvie play.
With hulk, make strong use of his grounded armor attacks, H, f+M, gamma charge with a cover assist to get in. SJ’s are very risky with hulk because he can’t change his landing position once in the air, so best to avoid doing that. Normal jumps are fine, but keep in mind they can be reacted to and a player can even still jump and grab you the moment he see’s you jumping without any cover. Watch kaneblueriver tourney vids for good hulk play.