For George Bush Snr, now a resident of Houston, Texas, it would be gratifying to see his sons in the forefront as his party tries to bounce back from losing the White House in 1992.
The Democrats are already gearing up to protect a 56-44 majority in the Senate and their governorships (29 compared to the Republicans' 19). Defeats in Texas or Florida, which have the third and fourth largest electorates in the US, could set the tone for the 1996 presidential election.
In Texas there is no doubt that the eldest son, George W Bush, 47, will be the Republican candidate facing the powerful Democratic Senator, Ann Richards, in November. A clampdown on juvenile violence is central to his campaign. In Florida, Jeb Bush, 41, a Miami-based property developer, will face a tougher fight in the Republican primaries, despite being the front-runner. If nominated, however, he may have an easier campaign than his brother - against Lawton Chiles, the incumbent Democratic Governor. Forty per cent of Mr Chiles' own party says he should retire.
The platforms of George W and Jeb have much in common and revolve around imprisoning people. Tim Fleck, editor of the Houston Insider newsletter, says: 'It is becoming a joke. Every political consultant in the country has to produce a crime plan for his candidate.'
Jeb Bush's variation on this theme is for prisons to be funded by cutting back on welfare. In Dallas, George W Bush has a similar plan, though he proposes adding a mere 3,500 prison beds. 'I say we need to treat certain kids, as young as 14 years old, as adults, for serious, psychopathic crimes,' he said recently. 'I say build detention centres . . . places that will be tough places to go; places that won't be fun.'
Both Bushes have adopted the convenient thesis of the Republican right, that criminals are the children of single mothers, who do not marry because the welfare system discourages it.
Nobody knows how much mileage there is in this tough-on-crime competition. Many criminologists believe that Ronald Reagan and George Bush, by filling prisons with small-time drug offenders in the 1980s, helped ensure there was no room left for more violent criminals. Democrats are determined not to be outflanked on the right but voters traditionally look to Republicans on law and order issues.
The Bushes both benefit from name recognition. Each has political experience, and access to money, gained by participating in their father's campaigns. But this also makes them vulnerable to charges that, politically and financially, they were born with silver spoons in their mouths. George W, for instance, though nominally owner of the Texas Rangers baseball team, in fact owns about 1 per cent of the stock and is considered a front-man for other interests.
Jeb Bush has a stronger political base. He always cultivated the Miami Cubans, a powerful lobby, and supported the Contras in Nicaragua in the 1980s. But other Florida Republicans accuse him of carpet bagging, by going for the state's highest office after only 11 years there. Campaigning is likely to get vicious. A consultant for Jeb Bush has already described his main Republican opponent as 'a boring, backbiting, mean little man who nobody is interested in'.
George Bush Snr will appear on behalf of his sons, though this may be a mixed blessing. Barbara Bush says: 'Having two of our sons decide to join us in political life, vindicates us for having done something we often thought hurt the children.' Their success could also help dim the memory of a third son, Neil Bush, fined dollars 50,000 for his role in the dollars 2.7bn collapse of the Denver-based Silverado savings and loan company in the late 1980s.
In the last year, the Republicans have won all six of the most important elections held, making Bill Clinton's victory in 1992 look increasingly lucky. The Democrats need to limit their losses in the mid-term elections. It will be doubly demoralising if any losses are inflicted by sons of President Bush.