Won't cut it, Cody. Your AC + converter will require approx 2000-2200 watts, steady state. Note that this genny will deliver 1600 watts steady state; not 2000.
Suggest you not give up on the Onan just yet and, instead, find someone who will troubleshoot it rather than throw parts at it. The fuel pump/filter often are culprits; I actually had to replace the magneto in mine (rare problem) and it has been running fine for 4 years since.
Others will have advice as well......there are a LOT of satisfied owners out there and many have a ton of expertise as well.
Good luck on the fix.