"Galaxy Wizard" can search out most of the important Spells and monsters in the Deck, but using its effect leaves your field exposed. Because of this, it's recommended to use "Photon Thrasher" to maintain field presence, with the added bonus that "Thrasher" can be used with "Wizard" for Rank 4 Xyz Monsters like "Starliege Paladynamo" and "Constellar Omega". Furthermore, Special Summoning "Thrasher" lets you Normal Summon "Galaxy Knight" without Tribute in the same turn.
The inclusion of "Galaxy Soldier" combined with "Galaxy Expedition" also gives a player the chance to incorporate some capable Rank 5 monsters, such as "Constellar Pleiades". An excellent combo is to discard a "Galaxy-Eyes" with "Soldier" to Special Summon the latter, then use "Soldier's" searching effect to add a "Galaxy Knight" to the hand. "Galaxy Knight" can then be Normal Summon and revive the "Galaxy-Eyes" in the Graveyard, to bring out a Rank 8 monster. The effect of "Soldier" is sometimes used with other LIGHT archetypes, like "Kozmo" or "Artifact", to speed up Xyz Summoning powerful Rank 5 Monsters like "Constellar Pleiades", "Cyber Dragon Nova" into "Cyber Dragon Infinity". While "Soldier" can be used on its own, a single "Wizard" can be used to search for "Galaxy Expedition" to Special Summon "Galaxy-Eyes Photon Dragon" or another "Soldier", depending on whether a Rank 5 Xyz Summon or raw power is needed.
Because the Deck will most likely be running many high-Level monsters, dead draws can be very frequent if your field or hand is not set up at the time to allow for their Summoning - this can happen quite easily if your field was cleared from an attack or card effect and you no longer have the resources to pull off the combos you rely on.