This deck was made more for the fun and novelty of it, not to be competitive. However, it can excel at damage output if you manage to get past your opponent's defenses.
No one want to summon Dragon Master Knight using a properly summoned Blue-Eyes Ultimate Dragon as material. So what we need are monsters that can substitute fusion materials. Simply use the fusion substitute with Black Luster Soldier as fusion materials to make Dragon Master Knight.
This will also allow you to summon Red-Eyes Slash Dragon with the fusion Substitute acting as Red-Eyes Black Dragon.
Goddess with the Third Eyes is preferred over The Light - Hex-Sealed Fusion because of her level. But using The Light - Hex-Sealed Fusion does have its own benefit, namely tributing itself with with Black Luster Soldier to make Dragon Master Knight without a fusion spell.
Upon activation Gateway to Chaos searches Black Luster Soldier which is helpful since he is at the center of many of this deck's plays.
Every time a monster(s) is sent to the graveyard this card gains 1 counter. Gather 3 of these counters to search out your Ritual Spells. Fusion Summons and Ritual Summons are good for building up counters because you would usually send multiple monsters to the graveyard as materials, giving Gateway to Chaos multiple counters.
Both these monsters are excellent for searching Polymerization. Elemental HERO Blazeman searches Polymerization upon being summoned. Vision HERO - Vylon sends a HERO monster from deck to the graveyard upon summoning. You can then use Vyon's effect to banish that HERO monster to search Polymerization. King of the Swamp also searches Polymerization by discarding himself.
Coincidentally they are both HERO monsters and therefore Warrior-types which allow you to use them as materials for Red-Eyes Slash Dragon.
With your skill, Dragon's Mirror and Five-Headed Dragon will be added to your deck and extra deck respectively. Five-Headed Dragon is useless to this deck. Dragon's Mirror however is a great fusion card.
Get Black Luster Soldier and a fusion substitute on your field and/or in your graveyard to make Dragon Master Knight. Or a fusion substitute and Warrior-type monster to make Red-Eyes Slash Dragon.
You can easily put King of the Swamp into your graveyard as your fusion substitute by discarding him to search Polymerization.
Fusion Summons are this deck's main gimmick. Dragon Master Knight is a just a really big beater. Red-Eyes Slash Dragon is the best monster in this deck and can consistently protect itself while still being a threatening presence on the field. Elemental HERO Gaia can be summoned as a beater if in case you cannot summon Dragon Master Knight, or in the rare instances that your opponent controls a monster Dragon Master Knight cannot beatdown.
Ritual monsters are the kind of a side strategy for this deck. Summon Black Luster Soldier to get materials in your graveyard for Dragon's Mirror. Black Luster Soldier himself is a good beater.
Your Ritual Spells can also be searched with Gateway to Chaos which does offer some, even if little, consistency.