The fact it is a Lamborghini, makes it more likely, you will not make it safely through several marginal countries, along the way. Iran, Pakistan, Afghanistan, Ukraine, Russia ...
Yes, there is a difference. I am African - American, US citizen by birth and heritage, and I've encountered extra scrutiny in Asia, which disappears as soon as they see my US Passport. "Oh, you're American, no problem."
Since you were born in Thailand, you probably can get a Thai ID. Birth's are registered in a house book, I forget the Thai name, maybe the Blue Book. Apply for ID, in village or province you were born in. Hopefully your parents still live there. Once you get Thai ID, everything else should be easy. QUIK Google search shows the name of the "house book" is the "tabien baan" and presumably you or your parents have your Thai Birth Certificate.
If Tourist to Thailand, go to AAA location in USA, and get a International Driver's Permit. Been traveling in Thailand 10 years, been asked for it twice at the numerous road blocks.
If arriving on Sunday, just arrive on 30 Day Visa Exempt, it may still be 45 days at the time of arrival. Near the end of your Visa Exempt, simply apply for a 30 day extension at the local immigration office, usually granted.