Thanks for the replies. I didn't necessary want to "overclock" it. Bad choice of words. My problem is the motor the cutting off sooner than it should. My best bet is probably to get a good floor pump.
Don't make me regret this

Anand, Inc and BooBoo, Amalgamated cannot be held responsible! (After all, consider my username - LOL)
You are dealing with 2 things:
1) the pressure switch; and
2) the regulator valve.
I'll guess the gauge at the switch is reading higher than the gauge past the regulator valve. So that gives you 2 options:
1) adjust the switch; or
2) bypass the regulator.
To adjust the pressure switch remove the plastic cover (with all the 'hazzard!' warnings - LOL). The pressure switch is fairly simple.
IF you can adjust the pressure-out it will most likely be the 'big-spring' assembly that looks remotely like this:
If I haven't lost my mind the tighter you crank the spring the more (air) pressure it will take to 'open' the contacts to shut the motor off.
Like overclocking

D) starting with a little 'lite cranking', monitoring the pressure gauges and testing the setup would be the way to roll. Safety First!
As far as by-passing the regulator valve:
1) remove the pressure gauge from the manifold, and disconnect the manifold from the air line that comes from the pressure switch; and
2) drop by your local auto/plumbing supply and buy 2 brass 'Tees', 2 90-degree fittings ('elbows'), 2 inline 'shut-offs' and some PTFE thread ('Teflon') tape. You will need to 'engineer' from available brass stock whatever additional bushings, barbs, fittings, couplings, etc., that you may need.
Install a 'T' at the pressure gauge fitting and reconnect the gauge. Use your tape! Connect the shut-off with a coupling to the manifold at the regulator valve.
"" T-off "" from the shut-off .... one back to the pressure switch and the other to the 'T' at the pressure gauge (install the second shut-off on this leg). By-pass complete! Probably cost around $30 or so. You might also find a really nice drain value for the tank for around $5-$6 that is much nicer (and easier on your fingers) than your current one. Drain the water every day you use it and the tank will last forever.
Most brass fittings in the 1/4-inch range have high PSI thresholds in the range 300-400 PSI ---- but always verify!
And hopefully we will not read about it in the news - LOL
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