Did Fantasy Flight not realize how much of a pain in the ass this card is going to be for IRL tournaments? Magic the Gathering had a similar card (Sensei's Divining Top), which was banned in formats because it wasted enormous amounts of time. This card can potentially make you search and shuffle your deck 3 times every single turn + the shuffles from the Museums that you will invariably be playing. That in and of itself is going to stretch the already interminable horizontal corp matchup out even further.
In terms of the card itself, I think it's good, possibly even very good. Click compression + tutoring, with targets that corp decks are already playing (Museum of History/Mumbad Temple) sounds like a recipe for success. 1 influence, 1 rez cost and 3 trash cost are about as good as you could hope for. Cards to keep in mind are Heritage Committee (hand sculpting, which is quite powerful with Museum's shuffle) and Jeeves Model Bioroids (possible fast advance implications).