Kanazawa to Kiso valley possible in one day?

Hi,
We would like to visit Tokyo - kanazawa - Tsumago/magome (Kiso valley) Kyoto - Izu (for some days at the beach) and back to Tokyo.

Is this a logical route? Especially, because I cannot figure out how to get from Kanazawa to the Kiso Valley. Is this possible and how long does it take us?

Furthermore, is it logical to fit in Kiso Valey between Kanazawa and Kyoto? Or would it be better to go from Kanazawa to Kyoto, from Kyoto to Kiso valley and from Kiso valley to Izu and back to Tokyo?

Thanks in advance.

We would like to visit Tokyo - kanazawa - Tsumago/magome (Kiso valley) Kyoto - Izu (for some days at the beach) and back to Tokyo.
Is this a logical route?

No, it is not a good route. I recommend the following route instead:

Tokyo - Kanazawa - Kyoto - Kiso - Izu - Tokyo

Especially, because I cannot figure out how to get from Kanazawa to the Kiso Valley.

It is relatively easy by train from Kanazawa to Nagoya and then on into the valley, but if Kyoto is your next destination, it would involve a lot of backtracking.

Or would it be better to go from Kanazawa to Kyoto, from Kyoto to Kiso valley and from Kiso valley to Izu and back to Tokyo?

Exactly! That would be better.