An induction genset will work fine for this application, with all the benefits of simplicity of operation - you save on supply & maintenance costs of excitation & synchronizing equipment.
I designed an installation of 2x500 kW natural gas engines for cogen service with induction generators, no known problems after 9+ years in service. The utility interconnect was also simpler with this arrangement, as there is no continued backfeed into utility side faults.
The downside of course is that there is no standby supply if the utility fails, as you need that supply for your excitation. If you absolutely must have 24/7 uninterrupted supply, then you need to go with a synchronous generator with appropriate controls & intertie protection to ride through utility outages - you will also get a boost in power quality with this arrangement, as voltage control will be tighter.
One thing to watch for with the induction option - you will probably need to install power factor correction capacitors, which should be sized so that they don't improve the no-load PF beyond 1.0 lagging. This is to avoid self-excitation of the induction generator.