They sure went crazy with the "Q capacitors" and filtering... (C41-C44, C47/C48, C413/C414).
No current limiting, hFE (suicide biasing) doesn't count. Except for 12VTRIG oddly enough (but with terrible regulation, a stack of Vbe's below a resistor divider).
Yes, replacing the diodes with bigger ones, or attaching heatsinks, would do. Mind that diodes mainly dissipate heat through their leads, and if there isn't much copper pour on the PCB they'll get awfully hot, even at rated current.
The diodes (and series collector resistors R45/R46) aren't necessary if the transistors are rated for the SOA (including adequate heatsinking, mind). TIP31C (and complement) may be better in that regard. Since the TO-126's shown aren't rated for much.
A much better solution overall is likely possible, but I'd have to see the rest of the circuit. In a repair setting, this isn't a very useful exercise though.
Tim