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The Spider Jockey with Creeper is a highly dangerous mob straight out of your nightmares, with the speed of a spider and the deadliness of a creeper. It is unknown which mod they come from, or if they are a glitch with all the clashing mods.
Like a Vanilla Spider Jockey, it can target two things at once, making wolves a reasonable defense. Ocelots/Cats will not have any effect (since the one that is moving is spider, not creeper). The Spider will keep pace with you and will climb over walls to get to you, once it gets close the creeper will not hesitate to explode and kill the spider, itself, the surrounding area, and (if you're close enough) you.
It is not recommended to fight this nightmare at close range. Any ranged weapon is a useful defense against the creeper, and the spider will be relatively easy to dispatch.
Using a rapier from the Tinker's Construct mod, you could get a hit on either of the mobs, backpedal (Right click), slash, backpedal, until both is killed.
If you have the Wolves and the courage, attack the Spider once, and get away before the creeper explodes. The wolves should attack, and kill the Spider, while the creeper targets you. Once the Spider is dead, use your preferred method of killing Creepers and you're done.
Method-3: Ranged Weapons
Make sure you have enough ammunition (if it needs any) and pick a mob. Kill your choice of mob (It is recommended to kill the creeper first since it damages terrain and is more deadly) and then either shoot or slash at the other. Easy. Best weapon for this tactic: Hunter's Handgun.
If you don't care about loot, and is not near your building, then blocking is a good idea. Blocking using giant sword/shield is more recommended since you are less likely to take any damage, just keep blocking when it is near until the creeper explode, killing the spider and damaging nearby (useless) terrain.
Method-5: Underwater Fight
This one is only applicable if you are near sea/river (underground lakes is not recommended), just "pull" the mob into the water, and hit it from underwater (spider and creeper cant go underwater by itself) until it dies.
Using this tactic with Water Breathing potion effect or non-solid blocks that cant be destroyed by water (both for oxygen) is also a good idea
Method-6: Conflict Use the trick you use on creepers to get a music disk, preferably skeletons.
Seeing as spiders aren't hostile during the day, he won't chase after you. Now use method 3 on the creeper, and you'll be good to go. Just don't hit the spider. This method only works in daylight, on the surface, and if the spider is not already on aggro with you.