Wow! That was a lot of responses and I do appreciate all of them. I read each and every one and gave all of the input careful consideration. I think I got what I was looking for... and quite a bit more. I was actually looking for alternatives and, admittedly, some agreement to my point of view and I got both.
Let me clarify some points.
I don't consider myself a rude person, unless being honest equates to being rude, and I suppose there's often a fine line there. As a guest in someone else's home who did not know me well, I would, as suggested, just sit quietly while they do their thing, but not pretend I was participating. If they choose to join hands I would find some way enable the people on either side of me to join hands while, as discretely as possible backing up enough to allow them to do so. I try to feel out these situations ahead of time so it's not so awkward. If the host has a real problem with me being a heathen I will leave if that makes them more comfortable. I don't want to be where I'm not welcome.
I have had some problems in the past with a few friends and family members who know exactly how I feel and throw it in my face (now that's rude) and that is when I excuse myself in order to not be the focal point of their little show. To be honest, I didn't want to be there in the first place, but my wife would make the commitments... And, there have been a few who do go on and on and on as if they were giving a Sunday morning sermon.
In my own home, everyone invited knows how I feel and I think it's just plain arrogant for them to shove their little show in my face. I have no problem with them doing a silent prayer to themselves as long as they keep it to themselves. In fact, if I'm to believe there is a God and God knows all, I would have to say our private thoughts are the purest form of prayer.
For those who know me, they accept the fact that I give them the opportunity to do their thing while I go wash up. I don't expect them to eat al their peas if they don't like peas and I don't make an issue of it.
I'm reminded of a sermon at the church I play for where the pastor told everyone that when they finally get to heaven they will be surpised at who they see there... and who they don't. It's who you are on the inside that matters, not who you pretent to be.
Anyhow, I thank all of you for taking the time to offer your thoughts and suggestions. I'm not sure I have any real solutions for my problem, but I still have five days to think it over. Maybe I'll just ask that they do their thing privately and we can all enjoy a stress-free dinner.
Well, thanks again. I should get to bed since I have to be up early to play lead guitar at church. Go figure... but, it's strictly business you know...