The one sticking point is Republicans must take a majority in this November's elections and then have the courage to follow through on the impeachment process.
The Kentucky Constitution Sections 66 to 68 governs how the process would work and it is not much different than the federal process, which you may remember being applied to Hillary Clinton's husband when he violated Paula Jones' civil rights.
One likely question in the process is the Constitution specifies that impeachment can result from "any misdemeanors in office." While Beshear may well be guilty of any number of crimes, what's interesting is that case law is overwhelming in affirming the Senate's ability to define terms and make its own rules for an impeachment process. In any event, neither prior nor subsequent court conviction for any crime is necessary for a constitutional officer to be impeached by the House and convicted and removed from office by the Senate. If the legislature wants him removed, they can do it.
Clearing this bad actor out of the Attorney General's office to be replaced with a more serious public servant is a very worthwhile pursuit worth campaigning for this fall.
