Grab the incident counts from problem tickets in Zendesk and write this data back to the tickets in bulk using a custom ticket field

sync_incident_counts.py

import json

# Customize these four lines for your Zendesk environment
zd_subdomain = 'subdomain' # the portion before .zendesk.com
zd_user = 'youremail@yourdomain.tld/token' # Your email address
zd_token = 'adbjhsabfjhbwshfubwhjsfbnsqjfcn' # Your API token
zd_incident_field = 123456789 # Replace this with the ID of the custom ticket field you're using to store the incident count

zd_headers = {'content-type': 'application/json'}

next_page = 'https://' + zd_subdomain + '.zendesk.com/api/v2/problems.json?include=incident_counts&page=1'
results = []

while next_page:
  response = requests.get(next_page, auth=(zd_user, zd_token))
  tickets = response.json()['tickets']
  next_page = response.json()['next_page']

  for ticket in tickets:
    results.append({ "id": ticket['id'], "custom_fields": [{ "id": zd_incident_field, "value": ticket['incident_count']}]})

# Break into chunks of 100 records since this is the limit on the bulk update endpoint Zendesk offers
chunks = [results[x:x+100] for x in range(0, len(results), 100)]

bulk_response = []

for chunk in chunks:
  payload = {"tickets": chunk}
  response = requests.put('https://' + zd_subdomain + '.zendesk.com/api/v2/tickets/update_many.json', data=json.dumps(payload), auth=(zd_user, zd_token), headers={'Content-Type': 'application/json'})
  bulk_response.append(response.json())

output = {'jobs': bulk_response}

A quick and dirty Python script that can be scheduled or triggered (e.g. in Zapier) to sync incident count to Problems to workaround the lack of this data being available in views in their core product.