[SuziQ]

A "moderate" Republican is a Democrat.

'Moderate' Republicans tend to be fiscal conservatives, but social liberals. They're embarrassed by those silly religious nuts who are pro-life and anti-homosexual marriage; how gauche!

[fantom]

They don’t like it they can change parties. They vote left anyway.

[E. Pluribus Unum]

'Moderate' Republicans tend to be fiscal conservatives, but social liberals.

Then they need to form their own third party, since they aren't actually one or the other.

Demcrat party for Liberal/Liberal, RINO party for Liberal/Conservative, Republican party for Conservative/Conservative.

The honest, obvious thing for them to do is leave.