You need more cards to draw cards. 3 Natal Pray and 3 Refresh, 2 Inspiration, 1 Overlimit and 1 or 2 Witchcraft if you have high ap cards can help you win in 1 or 2 turns.
For thought cards, most of them are useless for a lewd build (I think there is one useful card for a lewd build, the one that can be used after using strip, but I don't know what its effect is). For non lewd build most of them are still useless, except for Last Hope and Altenian Pride (the first can be used if you use an AP recovery card and the latter can be used if you drew it from another card effect like Refresh or Natal Pray).
I personally went with a kick build because I felt that it was faster than a lewd build.