The only way you will win elections is if either you change your tune to what they want to hear, or if you change their hearts to embrace liberty. I assume you don't want the former, since that means abandoning your principles, so that leaves changing their hearts. If you change their hearts, they will vote for your regardless of whether you are in the Republican party. So there seems to be no reason to join the Republican party.
But they won't listen to me unless I am in the Republican party, you may say. But the independents and Democrats will not listen to you if you ARE in the Republican party. We need to change their hearts as well. It seems best not to be associated with any party, then.
“With laws shall our land be built up, but with lawlessness laid waste.”