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No, Wisteria will need full sun location, 6 plus hours of sun.

This article will help you.

https://www.gardeningknowhow.com/ornamental/vines/ovgen/growing-perennial-vines.htm

Yes, Wisteria is listed as toxic to dogs and cats.

This can indicate that it is in need of restorative pruning if it is over a few decades old. If it is still under a decade old, then you may be looking at a different issue.

Prune anything that is completely dead, for sure. If you can include photos, and a description of how it is cared for, and fed, then I can be of more assistance with this issue.

For now, this article will help you to care for these plants: https://www.gardeningknowhow.com/ornamental/vines/wisteria/growing-wisteria-proper-wisteria-vine-care.htm

Wisteria is usually considered moderately deer resistant, but that certainly does not mean deer proof. You know what they can do when they are hungry during drought periods. I'm not sure about turkeys.

Young plants will be most vulnerable. It would be prudent to protect then with a six foot high wire fencing. When they are up and over that height onto an overhead trellis they should be okay. Unless the turkeys decide to fly up and roost there and feed on the developing flower buds. I haven't seen any reports on that, but it may be a possibility.

There is no need to remove the seed pods as far as plant health is concerned. There may be some draw on water and nutritional resources for seed development, but that should not be significant if the plant is healthy, well watered and fertilized. They can be removed if you wish, for aesthetic or nuisance reasons.

There are plant growth regulators that can be used to reduce vigorous, long vertical vegetative growth and divert energies to root development. But I've never heard of them being painted on wisteria stems to suppress sprouting.

I suggest that you just adopt a weekly management task of rubbing off (pinching/breaking/pruning) the new tender sprouts that appear, before they develop into woody stems.