2004 Dodge Neon - sub PSF for trans fluid in a pinch?

Short Answer: No. Never substitute another fluid for transmission fluid.

Explanation:

Transmission clutches require friction material to function properly. ATF (automatic transmission fluid) contains ingredients and additives specifically designed to both lubricate and provide the proper amount of friction for these clutches to engage correctly. These can vary significantly from the properties and additives in power steering fluids, or any other fluids not specifically formulated for transmission use.

Substituting fluids, especially for an extended period of time, can cause clutch slippage, overheating, leaks, and a number of other costly issues that may shorten the lifespan of the transmission.

While not ideal, it is better to add a compatible automatic transmission fluid like Dexron (usually found at any gas station) than to add a fluid from another system like PSF or brake fluid.