I have seen some extremely tight criterium frames. Measure and report the head tube angle (74 or 75 degrees???) and, as others have suggested, sight down the steerer tube to see whether the fork has been bent back.
Toe-to-tire overlap was common on track bikes and many road bikes -- even my UO-8 has it, because of the shorter-rake after-market fork.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069