Trying to convert project to use alternative USB<->RS232 UART chip

I'm in the process of building a project that I found online that uses an Atmega 8515 and an FTDI FT232BL USB<->RS232 UART converter. I'm wondering if it is possible to replace the FT232BL with the Texas Instruments TUSB3410 as a straight drop-in replacement, or what considerations will have to be made in switching the design from the one chip to the other. The reason I want to do this is simply because I have several of the TI chips laying around and I'd like to use what I have if at all possible. I understand that this is a question that is highly dependent on which functions of the chip I intend to utilize, as I can see that the chips do differ in features. However, it seems that the project I'm working with really just uses the bare minimum USB<->RS232 functionality on the chip, so I'm hoping that it can be done. The difficult part is that I don't have access to the code used to program the Atmega, so I'd need for the TUSB3410 to interface identically (but this shouldn't be an issue because USB and RS232 are both standardized protocols, so as long as I hook up to the right pins the operation should be identical, right? Or is it more complicated than that?). I realize this might not be a simple question to answer entirely, but any help at all pointing me in the right direction (or else a straight "not gonna happen") would be greatly appreciated.

For reference, here's the schematic for the project I'm building:
http://www.reinerziegler.de/GB-Flasher/schem+pcb/GB%20Cart%20Flasher%20(USB).pdf

And here are the datasheets for the two chips:

http://www.ti.com/lit/gpn/tusb3410