Is the inverter connected to the HOUSE batteries?
I strongly suspect conicidence in this case. but it is possible you messed up, This is beyond my long distance diagnosis ability however.
But if the inverter is hooked to the HOUSE side of life. (As it should be) then it is not the problem.. HOWEVER.....
A kilowatt inverter can suck up to around 100 amps.. For many alternators putting out more than 50 amps long term is not a good thing. And this may cause early alternator failure if you use the inverter on the road.
But your description suggests bearing failure, not electrical failure.
Might also be fan belt failure if you have "V" belts (Even with Serpentine belts it might be but ... Not as likely)
