Sell what you have. You are not going to fool anybody about flight time. They know what time level different types of pilots should have.

A military pilot has a lot to offer, but thousands of hours may not be it.

Discipline- A tract record of meeting training objectives.
Good Attitude-
CRM trained and experienced.
Ability to deal with technology, etc

You may not have lots of time, but you may have done some interesting and demanding ops in your time. Disaster relief that required you to adapt and work with different types of people. You get the picture.