When you apply for a car loan, the bank's main consideration is whether or not they believe you can afford the loan (based on your income and other expenses), and assuming you can afford it, whether or not they believe you will make the payments (based on your credit score and history). This is true regardless of price; the banks use similar types of algorithms if you are purchasing a car for $2k or $200k.
Just FYI, this is anecdotal at best, but most people I know that have new expensive cars usually lease them (e.g. a 1-2 year lease on the latest Ferrari). Those I know that buy exotic cars typically buy them used since 3 year old models are significantly cheaper except for the rarest limited production cars.
You mentioned that you plan to put around $25-30K down, and I want to question your statement about that:
It's not that I can't put more down, but it seems like a waste to me.
Why does putting more down seem like a waste? The only absolute reason I can think of not to put more down is if you are offered 0% financing on the car. (Which probably won't happen on an expensive vehicle.) Perhaps you can put the money into an investment that does better than the interest rate you'll pay, but there is likely an element of risk to doing that. So, see what your interest rate will be, and if it's more than you can make on that money with moderately low risk, I'd consider maximizing the down payment, perhaps even being prepared to pay for the car outright.