Have you tried talking to him? Ask him if he can put the phone abway for a bit and just spend time with everyone. Make a rule like "No phones or anything during dinner, or during 'family time' like games, or movies" or something. My dad is really good about that, and puts his phone away when he's at home. He just leaves it on the kitchen counter. every now and then he'll grab it, check it, and then put it back. He just leaves it in one spot all the time when he's at home.

He also brings a lot of his work home with him, but the only time I really see him on his laptop when the family is around is when he's watching TV with my mom. And she's usually knitting, so it's all good.

His behavior has influenced me to not answer my phone at all if I'm talking to someone, or if I'm at dinner, unless I know that one of my friends is in trouble and it could be them (aka, life and death situations).

Talk to him and set up ground rules. If he gets mad, tell him how it's making you feel, and that you can't help but be hurt or feel suspicious.

If he doesn't gret that.... well...

Also, I second Perna's idea. That's actually a great idea, lol.