My kids weren't like this, so can't really relate. You say your first wasn't either.
Some kids have way more energy. Go to any daycare, and some kids are just way more active, are up and about, are on the go - the teachers are chasing after them. So I'm sure some of this is personality.
Here's my thought. I wanted to raise very self sufficient kids and independent kids. That's because I know my limits and strengths. I am not into playing with kids. I love my kids dearly, but I am not about entertaining children. As a babysitter, then nanny, then working with my mom (kindergarten teacher)(I was her helper at her summer camps she ran) - I am into kids big time - but I know my strengths - I lose my patience with kids who are 'needy'. I'm not saying kids who want people to be with them all the time are needy. That's how I feel about it.
I think you can encourage independence at that age. I like the suggestions below. The crying hysterically - you can let him cry a little. I mean - what are you going to do when he goes to playgroup or daycare? They aren't going to hold his hand. You kind of have to start somewhere.
If he's not into toys - that's ok. Maybe try different toys or let him take the couch cushions off - maybe he's more into climbing. One of mine was much more into that - and he's very physical. If he did play with toys - it wasn't 'typical' and that was ok. Didn't mean he had behavioral issues. I mean - so long as they find entertainment in something, who really cares?
If your son likes to walk the house and needs you to call out now and then - that's fine. I used to have little 'stations' all over my house, but they were on my terms. My toddlers came with me. So when I was gardening or hanging out laundry, my toddler/preschoolers came with me. They played in the sand box. When I was making lunch, there was a little table there with crayons. Then off to laundry room where they sorted (made a mess) of our laundry. Who cares if it was all over floor. ..
When it was time for me to go upstairs, they had a box of toys up there that stayed up there. When it was time for me to put feet up and have a cup of tea, there was a big puzzle that came out (or was left out - I was pretty relaxed about this stuff). It was geared to me though.
I definitely don't recommend gearing it to be all about him. I think you will exhaust yourself. You have another one right? There's no way you can gear this all about this child. It won't work. Play pen (or one of those enclosure gate things) may work wonders for you. My friend had one. The other children would go and bring new toys in when baby would look bored. They would talk to him and keep him entertained for mom when she had to get something done.