Set up two levels of linguistic representation; call them Level 1 and Level 2, or even better, Level Alpha and Level Beta. This is to divide your explicanda into two conceptual domains so you can let one explain the other. Leave these levels and all constructs supporting them undefined; these will be your Theoretical Primes. Define everything else, however, not only as rigorously as possible but using as many symbols from the predicate calculus as you can understand.
Be sure to leave undefined the notion mu. Now make mu a unit at both undefined levels. For each mu use ordinary English spelling, but in upper case letters on one level, and in lower case letters on the other. Use abbreviations with upper case; for example, ERG, PRO, +ITAL for ergative, pronominal, borrowed from Italian.
From this point on you need a graphics expert. Draw guitar strings (don't call them that, of course) from units on one level to units on the other level. Count and classify the various arrangements of strings you need for the amount of grammar you began with; then pronounce all other logically possible arrangements of strings forbidden by Universal Constraints. Give each constraint a handy name, such as The Adjustable Bridge Constraint, or The Open-String Pull-Off Constraint. Always capitalize and use the with constraints.
At this point it will be proper, though not absolutely necessary, to bung in a bit of data from other languages. Since ultimately theories like yours can be constructed only by trained linguists who speak natively the languages they are examining, frankly, the Second Coming will be upon us well before you'll really have to think seriously about other languages. Besides, you have this neat argument:
With regard to marketing your theory, this is a cinch because of the way the academic world works. Your theory won't work, even for English, right? That's a foregone conclusion. But for twenty or thirty years, other people will make such a good living patching it up that they'll praise you as a genius even while they're bashing the daylights out of you, since without you, where would they be?
Make occasional references to Kuhn.