You'll get a lot of advice on this one, but from my experience, the electronic ignition requires more voltage. Do you have have all the wiring coming off the starter correct?

I have an MSD ignition, with an MSD Blaster 2 coil, normal wires but I have a jumper from my starter post to my coil to make sure the coil is fully energized at crank.

Can you pull any more info? Make/model of current coil, wiring configuration, and model number of the M&H Breakerless?

From what I've found so far, the coil specs required for that unit (or similiar breakerless.com unit):
Primary Resistance: 1.3 ohms (+/- 10%)
Primary Inductance: 7.5 mH
Secondary Resistance: 6800 ohms (+/- 10%)
Secondary Inductance: 26 H
Available Voltage: 29Kv (loaded)* / 35Kv (unloaded)
Turns Ratio: 60:1
Body Diameter: 2.125”
Finish: Black Enamel

You should be able to test these numbers to see if you are there. Clip a your voltmeter onto the positive side, and see how much voltage the coil is getting during crank. I was getting 9ish volts until I ran my energizing line, so I get 12ish now. Car cranks once and fires.