Thanks folks!
I am more concerned about the connection going TO Lima than coming back FROM Lima. If 2 hrs will do it at JFK, then the itinerary works out well.
The routing via LAX or SFO does not work, unfortunately, as the meeting-schedule for the departure-day from HKG sees me checking in in the morning, head off to meetings and jump on the airport express at just after 3pm.

^
Of course, should the meetings change, then LAX or SFO are very good options with less time spent airborne.
Thanks again.