Historically, Georgia had war with muslims for centuries because they wanted us to change our religion and Georgians were strictly sticking with Christianity.
I don't have much info on the history but I believe those wars were with the radicals who are not particularly Muslims, they just bear the name. The same radicals that Iran fought for centuries too. The same radicals that Iran is still fighting today such as of ISIS aka Da'esh that share their ideology with the al-Saud family ruling over Arabia.
If there is a war between America and Iran, we will be dragged in it. It's true that we aren't their neighbors but the distance between our borders is only 300KM and distance from our capital to Tabriz is 735KM. Since Georgia and America are strategic partners, there is a very high chance that America will store its soldiers or weapons in Georgia and this country will become Iran's target.
Things would be unpredictable but I believe that if US were to declare war on Iran, the Iran's initial response would targeting the biggest and most significant US bases in a 2000 km radius which are all in the South of Iran (eg. Qatar, Bahrain and Saudi Arabia). The response would also be so massive and harsh that people and governments of any other country in that radius would rush to kick US out of their country themselves.
We witnessed a tiny version of it after January 8, 2020 when Iran dropped a little over a dozen hypersonic ballistic missiles with heavy warheads on two US bases in Iraq and how angry Arab regimes of other countries started contacting US demanding their evacuation in case US wanted to respond, which they couldn't.
https://www.youtube.com/watch?v=YfjxHjs0hKohttps://imadl.ir/Satellite%20imagery/2022/01%20-%20January/Jenuary%208,%202021%20--%20Satellite%20imagery%20and%20Geo-Location%20of%20ballistic%20missiles%20strike%20on%20Ain-al-assad%20base%20EN.jpg