Good day CL Stewart;
The short answer is "yes", it's ok.
As mentioned by Sidney Vianna, the system should work for you and your organization. A simple/integrated management system (9001; IATF, 14001, etc..etc..) will help your current teams (and more importantly, FUTURE team members) understand and locate the information necessary from your integrated management system. I am concerned by your comment "...cumbersome, complicated, quality system...". If I may be so bold, this condition is usually a result of an organization not understanding the rule and intent of the standard, and, therefore, adding "layers" of documents and activity beyond what is in the best interest of the organization. When I am working with an organization I spend a lot of time "reverse engineering" (i.e. understanding what the organization is ALREADY doing and then identifying that in alignment with the requirements of the governing international standard(s) , instead of creating new and burdensome (non-beneficial) documents and methods. Even before the introduction of the HLS I would integrate management systems for the purpose of creating a comprehensive, streamlined, and concise management system. The primary international standards are now established under the HLS format, making integration easier than ever.
Minimalist documentation that is comprehensive of governing standards AND the company's corporate intent.
Work instructions (how);
Created only when necessary and providing job detail. These can be referenced by their umbrella procedure(s) and become the place where IATF and 14001 (in your example) truly separate.
Reference by their governing instructions and used to log the required/needed records.
Feel free to DM me or reach out on Linkedin @ https://www.linkedin.com/in/john-abnet-b14ba029/
if you have any specific questions I can help with.