The answer is yes, the MC240 is rated for 2Ohms in mono mode.
One difference between "bridged" and parallel is that bridged doubles the voltage (gain) by inverting one channel and stacking them without any additional current capacity, parallel doubles the current by load-sharing and the voltage (gain) remains the same. Bridged is not going to help with a difficult load.
Both can be shown as doubling the power output (watts) available.
In the case of the MLs or other difficult loads, you would want parallel, which fortunately is what the MC240's MONO mode delivers. Whether that will sound good to you is another question.
With the transformer output, and adequate current capacity within the impedance range, you should be able to achieve a constant / level amplification into the load. IF the MLs respond to this well, you have a good match.
Many people like solid-state direct output for this application, because the power output is NOT linear, it increases as the impedance drops. What this does is to maintain the voltage (gain) as the impedance drops but pass as much current (within limits) as necessary to maintain this gain. Speaker excursion is like a voltmeter, the larger the voltage the further the cone (or diaphragm) moves. If the current is maintained then it will do a better job of maintaining the relationship between driver movement and signal. There is also the (often overblown) talk about damping factor, which is irrelevant once you get to a fairly low number, yet people who can't separate theory from home audio will tell you that you need a damping factor that is much higher than the speaker and wires actually have, ... another discussion.
So the answer is that yes, the MC240 in parallel (MONO) is capable and rated for a 2 Ohm speaker (on the 4 Ohm taps). Whether the Martin Logan speakers are designed to require the current-spike capabiliy of direct-coupled SS or the consistent impedance of output transformers is the more important part, and will likely only come from those who have tried the pairing.
If you already have the amp, and plan to buy the speakers I say try it and you might love the pairing. If not, well you already had the amps and they're pretty easy to sell.