Graceful incompatible coords handling

[SelimSBE]

Description

This PR updates the internal conversion logic to use dict_to_dataset_drop_incompatible_coords across all relevant backends.

Related Issue

• [x] Related to #7908
• [x] Closes #7891

Checklist

• [x] Checked that the pre-commit linting/style checks pass
• [ ] Included tests that prove the fix is effective or that the new feature works
• [ ] Added necessary documentation (docstrings and/or example notebooks)
• [ ] If you are a pro: each commit corresponds to a relevant logical change

Type of change

• [x] Maintenance

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📚 Documentation preview 📚: https://pymc--7912.org.readthedocs.build/en/7912/