Many thanks for the replies. I agree that it is not just the money and that I need to look at the opportunities, present and future at either job. With my current employer, I am in a small regional office, with only about 35 employees, where I am a direct report to the office director. I don't see a lot of upward mobility at that location. Aspects of the job that I really like are the commercial (as opposed to US government) business as well as the international nature of the customer base and business opportunities. The offered job is largely US government based, which can be rather dry (I am a contract management type; reading through reams of FAR and DFAR clauses can get old pretty quickly).
As to my employment history, over the past 25 years, I have only worked for three companies. I was at the first for 17 years, the second for 7 and my current for 1. Based on that, I am not inclined to jump at the latest opportunity, which may explain my hesitancy.
My gut, at this point, tells me to stay put, unless I can determine what decisions have been made regarding layoffs as they may relate to me.