Fun games! Some comments:
My daughter was winning untill I managed to score Miskatonic University and then Asylum a bit later enabling me to get rid of the Madness cards in my deck and pull out a win.
Miskatonic U. gets rid of Madness cards from your hand and discard pile, but not from your deck.
We have a query about Destroy abilities with R'lyeh if you choose a minion to destroy to get the victory point we assumed you could also say you had destroyed it for it's ability such as Servitor of Cthulhu (was this right?). We where not sure if we enjoyed the new madness cards or factions so we gave it another go.
I believe that while behaviors like destroying can have multiple consequences, they cannot have multiple causes. Both R'Lyeh and Servitor of Cthulhu tell you to destroy a minion, and I believe you cannot use the same minion to fulfill both commands. And even if you could in principle, you couldn't in this case because R'leh happens in the Start of Turn phase and SoC in the Play Cards phase.
My Daughter liked playing Incorporal on the Elder Thing and using Ghostly Arrival but found she couldn't get her hand low enough to use a lot of the Ghost factions abilities.
Why put Incorporeal on Elder Thing? It's redundant.
This game became a race to see how many minions my daughter could get out before I bounced them all back to her hand again. The combo of Doctor When + Supreme Overlord + Abduction + Time Walk + Collector + Beam Up became very silly over time and I spent more time bouncing stuff back than scoring and my daughter couldn't score as she never had enough minions out so in the end we abandoned this game and called it a draw as my daughter was getting fed up with it. We both agreed that Time Travellers + Aliens would be better in a multipler game but I have been banned from using this particular set of Factions together in any two player games we have
That does sound problematical.
I just tried to get King Rex out with Juiced Up + Shielding + Cyber Evolution + Flying Monkeys and then play Rampage on a base, this worked a couple of times but ultimately my daughter won by getting more minions on more bases quicker and scoring them.
In several different games in addition to Smash Up I have learned that if I try to set up the perfect combo too hard I lose overall.