I believe his daughter is a pragmatic-style Republican, in line with the Kasich/Thune wing of the party, so that might tell you something.
Also,
I've never been able to see the logic train that starts with "Eisenhower was a moderate Republican who accepted the post WW2 welfare State and built the highways" to "Eisenhower would be disgusted by the current Republican Party and would clearly be in the party of dying your armpit hair blue to fight 'patriarchy'.
What exactly do you think Democrats do during their free time?