Taking a look a Nomo, his Japanese career also went exactly how I expected it would:
1990 Kintetsu Buffaloes 18 8 0 2.91 29 235 287
1991 Kintetsu Buffaloes 17 11 1 3.05 31 242.1 287
1992 Kintetsu Buffaloes 18 8 0 2.66 30 216.2 228
1993 Kintetsu Buffaloes 17 12 0 3.70 32 243.1 276
1994 Kintetsu Buffaloes 8 7 0 3.63 17 114 126
1995 LA Dodgers 13 6 0 2.54 28 191.1 236
1996 LA Dodgers 16 11 0 3.19 33 228.1 234
1997 LA Dodgers 14 12 0 4.25 33 207.1 233
1998 LA Dodgers 2 7 0 5.05 12 67.2 73
1998 NY Mets 4 5 0 4.82 17 89.2 94
He came in and for his first 3 seasons he was very good in Japan. However after getting accustomed to him, his ERA jumps up to 3.70 and 3.63 in the following years. Then he goes to the United States where no one has seen him before and he dominates for the first 2 years and then hes figured out.
I wasnt expecting Dice to come in and compete for the CY Young, and he wont this year. However aside from a few bad starts hes looked very good at times, and I predict his ERA will be in the 3.80 to 3.90 after this season which is very solid in the AL. Few pitchers in the game have his arsenal of pitches, so I can easily see him being a legit #2 next year (with this year him being a #3) and possibly being an ace one day, time will tell.