You'd need to modify that Soyuz somewhat...
For starters, it'd probably need somewhat heavier shielding to handle the higher background radiation for flights beyond the van Allen belts. You'd also need a better heat shield to withstand the much higher reentry speeds. The Apollo missions hit the atmosphere at roughly 25,000 MPH when they returned from the moon, compared to about 17,500 MPH for reentry from orbit. Ok, you might end up with a 2 man Soyuz instead of 3. Sounds like a good start.