Step One: Stop breaking the law
Step Two: Keep flying if you want
Step Three: wait five years until interviewing with an airline

Most airlines would ask, "how many moving violations in the last five years?"

I've never been asked about it for CFI or corporate jobs, but every job is different so find out.

If you can't handle a car properly, why should they trust you with a plane? That is their thinking with the traffic violations.

Good luck.