Shibuya to Studio Ghibli Park (Nagoya)

Waiting to get in the queue to get tickets and I wanted to ask for some help. We're staying in Tokyo, Shibuya. We need to get to Studio Ghibli Park when they open (or as close to) since it's a weekday, so limited hours to spend there. After, we'll be continuing on to Kyoto (so not staying overnight in Nagoya).

I've been reading everyone's posts that I can find. It's looking like about 3.5 hours and a lot of transfers:

Shibuya station->Tokyo station to Nozomi or Hikari trains->Nagoya station>JR Central Higashiyama Line to Fujigaoka Station->LINIMO (Aichi Rapid Transit Tobu Kyuryo Line) and get off at Aichikyuhaku-kinen-koen Station.

And that drops us off at the entrance. Then we just ride the same trains back to Nagoya station and then the train to Kyoto.

Is all of that right? And at about 3.5 hours total time?