It was his selling point. The people who voted for him don't care that he has no ideological conviction. They like that he is instinctively against "liberals". It just so happens that those are the people giving him less money and groveling.
The low-brow term for this is "owning the libs", but I believe it's really what's happening. It doesn't matter his personal moral failures or inconsistency, as long as he sets back social progress.