Having solid uncommons and commons helps even things out a bit, but even if you open way above average in terms of lower-rarity cards, it won't really make up for missing out on good mythics or foils because the good lower-rarity cards just aren't as valuable as the mythics and foils
I also like to bring in Shatter against White Weenie, because not only does it kill their Mishras Factories, but it can also deal with City in a Bottle, which many White Weenie variants may rely on against you (and can be devastating if not quickly dealt with)
I included Gavony Township in the deck so we can remove the -1/-1 counters from all of our creatures letting us use Cauldron again
1 Shining Tyranitar: Neo Destiny (Secret Rare) $392.99+ Neo Destiny's Signature Style, Perfected The Shining Tyranitar stands out from the rest due to its Shining distinction, as all cards from this iconic Neo Destiny subset feature a subtle but beautiful holo pattern with a muted shiny color palette
If heads put a card from your discard pile on top of your deck
In most cases, the Ward cost is mana, but in some cases it can be paying life, discarding cards, or even taking poison counters