For what it's worth, I see largely creepy rather than illegal behaviour.
I don't agree that the only people who have a say are Alabama electors. The party has interests. The senate has interests. The standard for senate involvement may reasonably be higher than "well, he ain't committed no crime, didn't he".
Ojay didn't murder his wife, but he lost a civil suit suggesting he killed her. Assuming no later crimes, should such a person be accepted by the senate? No. He more likely than not killed his wife.
The senate can make a judgement of its own about Moore.
If the senate can remove him and think it ought, that's what is allowed to happen. You can change the senate's rules democratically, if you wish. But your argument lives by democracy and it dies by it also.