Fugitive,
Considering how bad the Warthog base system can go bad with "sticktion" and Thrustmaster has a new base that is so much better The next time your base/stick goes bad I would consider either replacing the base with the AVA Base and the Viper grip (if needed note: They also have it as a kit with the F15/F18 grip), or take this opportunity to jump ship to a higher end vendor like Winwing, VKB, and/or Virpil VPC.
Some one mentioned putting a virpil grip on a Warhog base, While Thrustmaster grips are fully supported on virpil bases in the firmware the same can not be said about the reverse. I doubt Thrustmaster's software will even acknowledge a virpil grip in the software like Virpil does with Thrustmaster sticks, there are also other considerations like the LEDs on many Virpil grips.