The main issue with your question is that you gave us a deck and asked how to beat another deck with it. That's the wrong way to think about Hearthstone. If you are constantly playing against a particular style of deck, you have to adjust your deck to counter it. That's the whole idea of the meta game.
General strategy: don't over commit
Always remember you just want an obvious advantage; it's almost always best not to over commit. Think about the combos your opponent could be holding and when you're facing a likely board clear, hold back and tap. For example, if you have 3 minions on board and 2 cards in your hand on turn 6 but your Hunter opponent is holding 5 cards and hasn't been showing much board presence, it's typically best to just keep facing him with your board and develop you hand. It puts pressure on him to clear all the while you are preparing the next wave.
A couple thoughts about this deck
First off, deathrattle summons are best used for making your opponent second guess their AOE spells. You want to leave yourself with a threat for your opponent if they clear and Haunted Creepers don't really leave a threat, perhaps they do situationally, but usually they don't post any threat at all. Don't pop your own deathrattle summons unless it's for board control purposes only, keep the AOE threat alive. And get rid of the Creepers, suggestions below.
Second, this deck lacks serious punch power, particularly with missing charge minions like Leeroy and Argent Commander. I'm guessing you don't have those since they are not in here, and you should dust all of your gold cards to get them. It's much better being able to play any deck than it is playing just the decks you have cards for at the expense of having a little shiny in your deck. You need to be able to combo a huge punch (at least 10 damage) out of your hand for maximum winning potential. This deck doesn't have anywhere near that.
Lastly, this is a decent boost deck (cards that boost the others when played) but it lacks at damage mitigation and board protection. More on that below.
Against aggro hunter
When you are playing against an aggro deck, the most important thing you can do is mitigate face damage; anything that doesn't hit you hurts the aggro deck a lot and it's a bonus if you kill their creatures at the same time. Switching out some of the less speedy minions for mid range taunts works wonders against face aggro, just remember it's still more important to have clear board control against an aggro deck than dropping a taunt and slapping his face back. Against hunter aggro specifically, it's even more important to keep board control because once you get it against them you're probably going to keep it due to their lack of drawing ability.
Cards to consider removing:
- Haunted Creeper
- Shattered Sun Cleric (your board will be clear a lot of the time and you'll be forced to play this on an empty board)
- Elven Archer
- Dire Wolf Alpha (aggro deck minions don't have a lot of HP, boosting is less useful)
Cards to consider adding:
- Senjin Shieldmasta
- Sludge Belcher
- Loatheb
- Shieldbearer
- Deathlord (takes some practice, always toss it in mulligan)
When you make switches, don't put 6 taunts in, choose like 3 or 4, but you still need your deck to be fast enough to deal with the early rush.
Against midrange hunters
Against any kind of tempo deck you basically have to beat it with speed or burst, which is something this deck lacks. Fill up with the big charge cards and add safety cards, that is, cards that are hard to kill in one turn (divine shields and deathrattle summons).
Cards to consider removing:
- Dire Wolf Alpha
- Knife Juggler (not going to live very long, and there are better options for 2 cast)
- Elven Archer
- Haunted Creeper
Cards to consider adding:
- Arcane Golem
- Leeroy (should be in every iteration of this deck)
- Faerie Dragon
- Amani Berseker
- Bluegill Warrior (this card is meant for CC)
- Ironbeak Owl (you're almost certainly going to face some taunts)
These games tend to go one of two ways, they either match your early rush and you're both at 23 health with an empty board on turn 5 (high likelihood your are going to lose), or you get an early jump on him and you look for your chance to burst him down (high likelihood you are going to win).
Against secrets hunter
This is by far the hardest matchup, but you have one goal, empty their hand. This will give you a serious advantage. These decks play a little slower and it is advisable to match their slow play and build out your hand. You want small stuff on the board except when necessary to keep board control and you want to keep constant pressure on him by popping the secrets as soon as they are played, before you cast anything else in the turn! This deck isn't so bad for that matchup as is, but toss the Haunted Creepers and get the charge cards in there instead. It's also important to not overload the board or he will outdraw you and it will be a decisive victory.
