Justice of the peace

Please edit this post with location. It really depends on the state/county

Look for an independent officiant. Not every state has JP's; NJ doesn't.

Once again, Google and vendor tab.

I would find someone else

Apparently, in Arkansas a Justice of the Peace is authorized to officiate weddings. Check with the county courthouse where you'll be getting your marriage license.

Justice of the peace would be found at the courthouse. See if your local courts have a website, if not then call. A lot of them will come to your location for a small added fee. You can also use the vendor tab on here and search for another officiant that way.

Here's a tip for changing your Avatar

https://m.weddingwire.com/wedding-forums/seriously-you-with-the-double-ring-avatar/38c68d2a41e7c66f?forum_type=default_forum

Can't you just hire a non-denominational officiant? I can't remember the last time I went to a wedding in a church.

Just go down to the courthouse. And your pastor is being a tad dishonest-- he *won't* marry you-- it's not that the law won't let him and he can't.