There should be line voltage led lamps that would be compatible with your existing lamps. The main issue would be whether the light output is equivalent or less.

In addition, the cost of upgrading the bulbs alone might be similar to replacing the entire setup.

A led track light that will compare to a standard halogen par bulb would be a Exterminator from WAC lighting. This fixture will last up to 30 years if ran about 4-5 hours a day. Each fixture is 20w with 1450 Lumens, this is dimmable with a ELV dimmer. This is available to fit most major track producers current and previous track. CRI is 85 and 5 year warranty. Available throughout lighting showrooms in your area or online.

Here is a link that might be useful: Exterminator

Thank you both!