Also, Trump aside, there aren't very many elected officials from the second group, probably because there isn't as much money behind the second set of causes.
I think much of that is that is simply a consequence of the demographics of people who tend to go into politics. "Conventional" Republican orthodoxy of the "Type 1" variety described in the OP is held by a group of people who tend to have higher incomes and higher education levels. "Trump-ism" is more popular among those who are lower on the socioeconomic ladder. Hence, "Type 1" is more common among the class of people who actually run for office.
So yeah, there "isn't as much money" in the second group, but that's not just the money of donors, but also the money of the politicians themselves.