Yeah, as they will be active, all that's really necessary to aid the OP is to specifically identify the two drivers. Then, speaker designs can fall out of the Aether. If you know where he might source reputable coaxes from trustworthy manufacturers, it may be helpful for you to choose an example 6 or 8.
BTW, MTM were popular in the 60's for a bit but it's only after Joe d' Appolito figured our some filtering maybe 30 years ago that the vertical polars really got "fixed". Then, of course, everyone had to build them for a spell, like any other speaker topology fad.
Re the "lobing" in this vernacular: Drivers narrow their
dispersion as frequency increases (aka their beamwidth narrows or they "beam"). At low freqs (long wavelength relative to source size), radiation is hemispherical blob. Increasing frequency, the blob narrows to a sort of teardrop. Increasing frequency further, it begins to form side "lobes" (sic). Reality is revolved 3-D for pistonic sources.
That's one part of it. Now, add a second source. The distance from each to a given receiving positon will be different. What happens is frequency-dependent constructive and destructive interference. Like throwing two rocks in the water--some spots have wave peaks, some spots have troughs. It you keep the two radiation sources within a distance of say 1/4 wavelength at crossover, they combine as a single source to make a single forward lobe. Fore- or aft- positioning of each relative to the other will then begin to "tilt" or rotate their main lobe (and pattern) when viewing the vertical plane from the side.
Filters mess with phase and can thus move/rotate the radiation pattern as well. By inspection, then, the choice for axis of measurement relative to forward lobe axis matters. This can show as "polar problem". Just jockey things so that you can sit in the big fat forward lobe, and all is well, basically. Aim the vertical nulls at that ceiling reflection and floor bounce and your spectral balance is more forward lobe and less reflection, etc. Of course nothing is quite that simple when considering breakup modes and non-ideal drivers and no speakers are perfect. The OP need not think about any of this and in a way, the coax choice can make everything easier.