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3rd Gen Ram Tech2002-2008 Rams: This section is for TECHNICAL discussions only, that involve the 2002 through 2008 Rams Rams. For any non-tech discussions, please direct your attention to the "General discussion/NON-tech" sub sections.
There is no such thing as a 38'' tire that is 13.5 wide. they make 37x13.5's and 40x13.5's. Mickey Thompson 38's usually are 395's, which measure out to be about 15.7 on their baja ATZ's and about 15.5 on their mud stuff. In short, yes the tires will fit on that 12.5 rim. They recommend a 12'' rim I believe so 12.5 will be fine. As long as you have proper backspacing and at least 9'' of lift you should be able to clear them without a problem.